80256264 has 64 divisors (see below), whose sum is σ = 220968000. Its totient is φ = 24088320.

The previous prime is 80256263. The next prime is 80256271. The reversal of 80256264 is 46265208.

It is a super-2 number, since 2×80256264² = 12882135822475392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (80256263) 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, 27382 + ... + 30170.

It is an arithmetic number, because the mean of its divisors is an integer number (3452625).

Almost surely, 2^80256264 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 80256264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110484000).

80256264 is an abundant number, since it is smaller than the sum of its proper divisors (140711736).

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

80256264 is a wasteful number, since it uses less digits than its factorization.

80256264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 80256264 is about 8958.5860491486. The cubic root of 80256264 is about 431.3465343230.

The spelling of 80256264 in words is "eighty million, two hundred fifty-six thousand, two hundred sixty-four".