80002824 has 64 divisors (see below), whose sum is σ = 221495040. Its totient is φ = 23876160.

The previous prime is 80002823. The next prime is 80002829. The reversal of 80002824 is 42820008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 80002794 and 80002803.

It is not an unprimeable number, because it can be changed into a prime (80002823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15427 + ... + 19949.

It is an arithmetic number, because the mean of its divisors is an integer number (3460860).

Almost surely, 2^80002824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80002824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110747520).

80002824 is an abundant number, since it is smaller than the sum of its proper divisors (141492216).

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

80002824 is a wasteful number, since it uses less digits than its factorization.

80002824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 80002824 is about 8944.4297750052. The cubic root of 80002824 is about 430.8920080497.

The spelling of 80002824 in words is "eighty million, two thousand, eight hundred twenty-four".