79537920 has 288 divisors, whose sum is σ = 317882880. Its totient is φ = 16465920.

The previous prime is 79537919. The next prime is 79537921. The reversal of 79537920 is 2973597.

It is an interprime number because it is at equal distance from previous prime (79537919) and next prime (79537921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79537921) 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, 295546 + ... + 295814.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^79537920 is an apocalyptic number.

79537920 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 79537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

79537920 is an abundant number, since it is smaller than the sum of its proper divisors (238344960).

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

79537920 is a wasteful number, since it uses less digits than its factorization.

79537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 79537920 is about 8918.4034445634. The cubic root of 79537920 is about 430.0557346181.

The spelling of 79537920 in words is "seventy-nine million, five hundred thirty-seven thousand, nine hundred twenty".