79145640 has 384 divisors, whose sum is σ = 329184000. Its totient is φ = 16547328.

The previous prime is 79145629. The next prime is 79145657. The reversal of 79145640 is 4654197.

79145640 is a `hidden beast` number, since 7 + 9 + 1 + 4 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 79145595 and 79145604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2729146 + ... + 2729174.

It is an arithmetic number, because the mean of its divisors is an integer number (857250).

Almost surely, 2^79145640 is an apocalyptic number.

79145640 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 79145640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

79145640 is an abundant number, since it is smaller than the sum of its proper divisors (250038360).

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

79145640 is a wasteful number, since it uses less digits than its factorization.

79145640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 79145640 is about 8896.3835348978. The cubic root of 79145640 is about 429.3475593150.

The spelling of 79145640 in words is "seventy-nine million, one hundred forty-five thousand, six hundred forty".