79511040 has 480 divisors, whose sum is σ = 344710080. Its totient is φ = 16515072.

The previous prime is 79511021. The next prime is 79511059. The reversal of 79511040 is 4011597.

79511040 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (79511021) and next prime (79511059).

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 79510995 and 79511013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741746 + ... + 2741774.

It is an arithmetic number, because the mean of its divisors is an integer number (718146).

Almost surely, 2^79511040 is an apocalyptic number.

79511040 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 79511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172355040).

79511040 is an abundant number, since it is smaller than the sum of its proper divisors (265199040).

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

79511040 is a wasteful number, since it uses less digits than its factorization.

79511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 79511040 is about 8916.8963210301. The cubic root of 79511040 is about 430.0072830928.

The spelling of 79511040 in words is "seventy-nine million, five hundred eleven thousand, forty".