79355520 has 192 divisors, whose sum is σ = 286416000. Its totient is φ = 20207616.

The previous prime is 79355501. The next prime is 79355527. The reversal of 79355520 is 2555397.

79355520 is a `hidden beast` number, since 79 + 35 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (79355527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132181 + ... + 132779.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^79355520 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 79355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

79355520 is an abundant number, since it is smaller than the sum of its proper divisors (207060480).

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

79355520 is a wasteful number, since it uses less digits than its factorization.

79355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 79355520 is about 8908.1715295564. The cubic root of 79355520 is about 429.7267418354.

The spelling of 79355520 in words is "seventy-nine million, three hundred fifty-five thousand, five hundred twenty".