79348896 has 240 divisors, whose sum is σ = 267841728. Its totient is φ = 22999680.

The previous prime is 79348879. The next prime is 79348903. The reversal of 79348896 is 69884397.

79348896 is a `hidden beast` number, since 79 + 3 + 488 + 96 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3449941 + ... + 3449963.

Almost surely, 2^79348896 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 79348896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920864).

79348896 is an abundant number, since it is smaller than the sum of its proper divisors (188492832).

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

79348896 is a wasteful number, since it uses less digits than its factorization.

79348896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 79348896 is about 8907.7997283280. The cubic root of 79348896 is about 429.7147847207.

The spelling of 79348896 in words is "seventy-nine million, three hundred forty-eight thousand, eight hundred ninety-six".