79846400 has 66 divisors (see below), whose sum is σ = 197985840. Its totient is φ = 31928320.

The previous prime is 79846397. The next prime is 79846427. The reversal of 79846400 is 464897.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24041 + ... + 27159.

Almost surely, 2^79846400 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 79846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98992920).

79846400 is an abundant number, since it is smaller than the sum of its proper divisors (118139440).

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

79846400 is a wasteful number, since it uses less digits than its factorization.

79846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 79846400 is about 8935.6812834836. The cubic root of 79846400 is about 430.6109936863.

The spelling of 79846400 in words is "seventy-nine million, eight hundred forty-six thousand, four hundred".