80001600 has 168 divisors, whose sum is σ = 300093888. Its totient is φ = 18278400.

The previous prime is 80001583. The next prime is 80001631. The reversal of 80001600 is 610008.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 80001600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32410 + ... + 34790.

Almost surely, 2^80001600 is an apocalyptic number.

80001600 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 80001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150046944).

80001600 is an abundant number, since it is smaller than the sum of its proper divisors (220092288).

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

80001600 is a wasteful number, since it uses less digits than its factorization.

80001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 80001600 is about 8944.3613522710. The cubic root of 80001600 is about 430.8898105668.

Adding to 80001600 its reverse (610008), we get a palindrome (80611608).

It can be divided in two parts, 80001 and 600, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 80001600 in words is "eighty million, one thousand, six hundred".