80892864 has 168 divisors, whose sum is σ = 258439920. Its totient is φ = 24800256.

The previous prime is 80892853. The next prime is 80892871. The reversal of 80892864 is 46829808.

It is a happy number.

It is a super-2 number, since 2×80892864² = 13087310892244992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291894 + ... + 292170.

Almost surely, 2^80892864 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 80892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129219960).

80892864 is an abundant number, since it is smaller than the sum of its proper divisors (177547056).

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

80892864 is a wasteful number, since it uses less digits than its factorization.

80892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 80892864 is about 8994.0460305693. The cubic root of 80892864 is about 432.4840253826.

The spelling of 80892864 in words is "eighty million, eight hundred ninety-two thousand, eight hundred sixty-four".