79396800 has 336 divisors, whose sum is σ = 317479680. Its totient is φ = 16957440.

The previous prime is 79396789. The next prime is 79396813. The reversal of 79396800 is 869397.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571131 + ... + 571269.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^79396800 is an apocalyptic number.

79396800 is a gapful number since it is divisible by the number (70) 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 79396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

79396800 is an abundant number, since it is smaller than the sum of its proper divisors (238082880).

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

79396800 is a wasteful number, since it uses less digits than its factorization.

79396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 79396800 is about 8910.4882021133. The cubic root of 79396800 is about 429.8012421973.

The spelling of 79396800 in words is "seventy-nine million, three hundred ninety-six thousand, eight hundred".