79545312 has 288 divisors, whose sum is σ = 300029184. Its totient is φ = 19353600.

The previous prime is 79545311. The next prime is 79545317. The reversal of 79545312 is 21354597.

79545312 is a `hidden beast` number, since 79 + 54 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×79545312² = 12654913322354688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79545311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376887 + ... + 377097.

It is an arithmetic number, because the mean of its divisors is an integer number (1041768).

Almost surely, 2^79545312 is an apocalyptic number.

79545312 is a gapful number since it is divisible by the number (72) 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 79545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150014592).

79545312 is an abundant number, since it is smaller than the sum of its proper divisors (220483872).

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

79545312 is a wasteful number, since it uses less digits than its factorization.

79545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 79545312 is about 8918.8178588869. The cubic root of 79545312 is about 430.0690568737.

The spelling of 79545312 in words is "seventy-nine million, five hundred forty-five thousand, three hundred twelve".