79732800 has 378 divisors, whose sum is σ = 332574138. Its totient is φ = 18063360.

The previous prime is 79732729. The next prime is 79732813. The reversal of 79732800 is 823797.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 79281216 = 672^2 + 8904^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705544 + ... + 705656.

Almost surely, 2^79732800 is an apocalyptic number.

79732800 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 79732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166287069).

79732800 is an abundant number, since it is smaller than the sum of its proper divisors (252841338).

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

79732800 is a wasteful number, since it uses less digits than its factorization.

79732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 79732800 is about 8929.3224826971. The cubic root of 79732800 is about 430.4066821330.

The spelling of 79732800 in words is "seventy-nine million, seven hundred thirty-two thousand, eight hundred".