79963200 has 210 divisors, whose sum is σ = 294400986. Its totient is φ = 21288960.

The previous prime is 79963199. The next prime is 79963283. The reversal of 79963200 is 236997.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 79709184 = 504^2 + 8928^2 .

It is a super-2 number, since 2×79963200² = 12788226708480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129292 + ... + 129908.

Almost surely, 2^79963200 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 79963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147200493).

79963200 is an abundant number, since it is smaller than the sum of its proper divisors (214437786).

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

79963200 is a wasteful number, since it uses less digits than its factorization.

79963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 79963200 is about 8942.2144908294. The cubic root of 79963200 is about 430.8208585427.

The spelling of 79963200 in words is "seventy-nine million, nine hundred sixty-three thousand, two hundred".