79735968 has 192 divisors, whose sum is σ = 259660800. Its totient is φ = 23639040.

The previous prime is 79735949. The next prime is 79735969. The reversal of 79735968 is 86953797.

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 (79735969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348078 + ... + 348306.

It is an arithmetic number, because the mean of its divisors is an integer number (1352400).

Almost surely, 2^79735968 is an apocalyptic number.

79735968 is a gapful number since it is divisible by the number (78) 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 79735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129830400).

79735968 is an abundant number, since it is smaller than the sum of its proper divisors (179924832).

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

79735968 is a wasteful number, since it uses less digits than its factorization.

79735968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 79735968 is about 8929.4998740131. The cubic root of 79735968 is about 430.4123824651.

The spelling of 79735968 in words is "seventy-nine million, seven hundred thirty-five thousand, nine hundred sixty-eight".