79827120 has 200 divisors, whose sum is σ = 282315264. Its totient is φ = 20901888.

The previous prime is 79827109. The next prime is 79827133. The reversal of 79827120 is 2172897.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 628497 + ... + 628623.

Almost surely, 2^79827120 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 79827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141157632).

79827120 is an abundant number, since it is smaller than the sum of its proper divisors (202488144).

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

79827120 is a wasteful number, since it uses less digits than its factorization.

79827120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 79827120 is about 8934.6023974209. The cubic root of 79827120 is about 430.5763319346.

The spelling of 79827120 in words is "seventy-nine million, eight hundred twenty-seven thousand, one hundred twenty".