79765920 has 144 divisors (see below), whose sum is σ = 293208552. Its totient is φ = 19630080.

The previous prime is 79765879. The next prime is 79765927. The reversal of 79765920 is 2956797.

It can be written as a sum of positive squares in 4 ways, for example, as 69956496 + 9809424 = 8364^2 + 3132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79765927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16590 + ... + 20850.

Almost surely, 2^79765920 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 79765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146604276).

79765920 is an abundant number, since it is smaller than the sum of its proper divisors (213442632).

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

79765920 is a wasteful number, since it uses less digits than its factorization.

79765920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 79765920 is about 8931.1768541441. The cubic root of 79765920 is about 430.4662690532.

The spelling of 79765920 in words is "seventy-nine million, seven hundred sixty-five thousand, nine hundred twenty".