79617120 has 192 divisors, whose sum is σ = 290013696. Its totient is φ = 18145280.

The previous prime is 79617113. The next prime is 79617127. The reversal of 79617120 is 2171697.

It is an interprime number because it is at equal distance from previous prime (79617113) and next prime (79617127).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79617127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89317 + ... + 90203.

It is an arithmetic number, because the mean of its divisors is an integer number (1510488).

Almost surely, 2^79617120 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 79617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145006848).

79617120 is an abundant number, since it is smaller than the sum of its proper divisors (210396576).

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

79617120 is a wasteful number, since it uses less digits than its factorization.

79617120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 79617120 is about 8922.8425963927. The cubic root of 79617120 is about 430.1984301407.

The spelling of 79617120 in words is "seventy-nine million, six hundred seventeen thousand, one hundred twenty".