79905952 has 48 divisors (see below), whose sum is σ = 180677952. Its totient is φ = 34076160.

The previous prime is 79905949. The next prime is 79905953. The reversal of 79905952 is 25950997.

It is a super-2 number, since 2×79905952² = 12769922330052608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79905953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51427 + ... + 52957.

It is an arithmetic number, because the mean of its divisors is an integer number (3764124).

Almost surely, 2^79905952 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 79905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90338976).

79905952 is an abundant number, since it is smaller than the sum of its proper divisors (100772000).

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

79905952 is a wasteful number, since it uses less digits than its factorization.

79905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 46.

The square root of 79905952 is about 8939.0129208990. The cubic root of 79905952 is about 430.7180215682.

The spelling of 79905952 in words is "seventy-nine million, nine hundred five thousand, nine hundred fifty-two".