79917600 has 288 divisors, whose sum is σ = 305980416. Its totient is φ = 17740800.

The previous prime is 79917599. The next prime is 79917611. The reversal of 79917600 is 671997.

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, 1125565 + ... + 1125635.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 2^79917600 is an apocalyptic number.

79917600 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 79917600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

79917600 is an abundant number, since it is smaller than the sum of its proper divisors (226062816).

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

79917600 is a wasteful number, since it uses less digits than its factorization.

79917600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 79917600 is about 8939.6644232320. The cubic root of 79917600 is about 430.7389493366.

The spelling of 79917600 in words is "seventy-nine million, nine hundred seventeen thousand, six hundred".