79822960 has 80 divisors (see below), whose sum is σ = 216504000. Its totient is φ = 27358464.

The previous prime is 79822937. The next prime is 79823011. The reversal of 79822960 is 6922897.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25986 + ... + 28894.

It is an arithmetic number, because the mean of its divisors is an integer number (2706300).

Almost surely, 2^79822960 is an apocalyptic number.

79822960 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 79822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108252000).

79822960 is an abundant number, since it is smaller than the sum of its proper divisors (136681040).

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

79822960 is a wasteful number, since it uses less digits than its factorization.

79822960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 79822960 is about 8934.3695916388. The cubic root of 79822960 is about 430.5688523184.

The spelling of 79822960 in words is "seventy-nine million, eight hundred twenty-two thousand, nine hundred sixty".