79305905952 has 384 divisors, whose sum is σ = 285310771200. Its totient is φ = 20870120448.

The previous prime is 79305905927. The next prime is 79305905989. The reversal of 79305905952 is 25950950397.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50868949 + ... + 50870507.

It is an arithmetic number, because the mean of its divisors is an integer number (742996800).

Almost surely, 2^79305905952 is an apocalyptic number.

79305905952 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 79305905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142655385600).

79305905952 is an abundant number, since it is smaller than the sum of its proper divisors (206004865248).

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

79305905952 is a wasteful number, since it uses less digits than its factorization.

79305905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 54.

The spelling of 79305905952 in words is "seventy-nine billion, three hundred five million, nine hundred five thousand, nine hundred fifty-two".