80002000 has 160 divisors (see below), whose sum is σ = 221798304. Its totient is φ = 27648000.

The previous prime is 80001959. The next prime is 80002001. The reversal of 80002000 is 20008.

80002000 = T₃₃ + T₃₄ + ... + T₇₈₂.

It is a happy number.

80002000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 16 ways, for example, as 77299264 + 2702736 = 8792^2 + 1644^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441910 + ... + 442090.

Almost surely, 2^80002000 is an apocalyptic number.

80002000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110899152).

80002000 is an abundant number, since it is smaller than the sum of its proper divisors (141796304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80002000 is a wasteful number, since it uses less digits than its factorization.

80002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 80002000 is about 8944.3837126993. The cubic root of 80002000 is about 430.8905287009.

Multiplying 80002000 by its sum of digits (10), we get a triangular number (800020000 = T₄₀₀₀₀).

Adding to 80002000 its reverse (20008), we get a palindrome (80022008).

It can be divided in two parts, 8000 and 2000, that multiplied together give a square (16000000 = 4000²).

The spelling of 80002000 in words is "eighty million, two thousand".