79552800 has 288 divisors, whose sum is σ = 299980800. Its totient is φ = 20321280.

The previous prime is 79552793. The next prime is 79552801. The reversal of 79552800 is 825597.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (79552801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626337 + ... + 626463.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^79552800 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 79552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

79552800 is an abundant number, since it is smaller than the sum of its proper divisors (220428000).

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

79552800 is a wasteful number, since it uses less digits than its factorization.

79552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 79552800 is about 8919.2376355830. The cubic root of 79552800 is about 430.0825513042.

The spelling of 79552800 in words is "seventy-nine million, five hundred fifty-two thousand, eight hundred".