79439360 has 320 divisors, whose sum is σ = 263983104. Its totient is φ = 22118400.

The previous prime is 79439357. The next prime is 79439363. The reversal of 79439360 is 6393497.

It is an interprime number because it is at equal distance from previous prime (79439357) and next prime (79439363).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×79439360² = 12621223834419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79439363) 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, 2562545 + ... + 2562575.

Almost surely, 2^79439360 is an apocalyptic number.

79439360 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 79439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

79439360 is an abundant number, since it is smaller than the sum of its proper divisors (184543744).

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

79439360 is a wasteful number, since it uses less digits than its factorization.

79439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 41.

The square root of 79439360 is about 8912.8760790219. The cubic root of 79439360 is about 429.8780256166.

The spelling of 79439360 in words is "seventy-nine million, four hundred thirty-nine thousand, three hundred sixty".