79007040 has 168 divisors, whose sum is σ = 310652160. Its totient is φ = 18054144.

The previous prime is 79007029. The next prime is 79007063. The reversal of 79007040 is 4070097.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×79007040² = 12484224739123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79006995 and 79007013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18201 + ... + 22119.

It is an arithmetic number, because the mean of its divisors is an integer number (1849120).

Almost surely, 2^79007040 is an apocalyptic number.

79007040 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 79007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155326080).

79007040 is an abundant number, since it is smaller than the sum of its proper divisors (231645120).

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

79007040 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (79007039) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3949).

79007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 79007040 is about 8888.5904394341. The cubic root of 79007040 is about 429.0967881116.

The spelling of 79007040 in words is "seventy-nine million, seven thousand, forty".