79852080 has 320 divisors, whose sum is σ = 321408000. Its totient is φ = 15912960.

The previous prime is 79852033. The next prime is 79852103. The reversal of 79852080 is 8025897.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535846 + ... + 535994.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^79852080 is an apocalyptic number.

79852080 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 79852080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

79852080 is an abundant number, since it is smaller than the sum of its proper divisors (241555920).

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

79852080 is a wasteful number, since it uses less digits than its factorization.

79852080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 79852080 is about 8935.9991047448. Note that the first 3 decimals coincide. The cubic root of 79852080 is about 430.6212041756.

The spelling of 79852080 in words is "seventy-nine million, eight hundred fifty-two thousand, eighty".