79956828 has 144 divisors (see below), whose sum is σ = 249933600. Its totient is φ = 22014720.

The previous prime is 79956817. The next prime is 79956829. The reversal of 79956828 is 82865997.

It is a happy number.

79956828 is a `hidden beast` number, since 79 + 9 + 568 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79956829) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 153208 + ... + 153728.

It is an arithmetic number, because the mean of its divisors is an integer number (1735650).

Almost surely, 2^79956828 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 79956828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124966800).

79956828 is an abundant number, since it is smaller than the sum of its proper divisors (169976772).

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

79956828 is a wasteful number, since it uses less digits than its factorization.

79956828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 79956828 is about 8941.8581961469. The cubic root of 79956828 is about 430.8094146809.

The spelling of 79956828 in words is "seventy-nine million, nine hundred fifty-six thousand, eight hundred twenty-eight".