79772256 has 96 divisors (see below), whose sum is σ = 234823680. Its totient is φ = 26345088.

The previous prime is 79772249. The next prime is 79772291. The reversal of 79772256 is 65227797.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×79772256² = 12727225654659072, 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109365 + ... + 110091.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^79772256 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 79772256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117411840).

79772256 is an abundant number, since it is smaller than the sum of its proper divisors (155051424).

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

79772256 is a wasteful number, since it uses less digits than its factorization.

79772256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 859 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 79772256 is about 8931.5315595927. The cubic root of 79772256 is about 430.4776664105.

The spelling of 79772256 in words is "seventy-nine million, seven hundred seventy-two thousand, two hundred fifty-six".