76715640 has 128 divisors (see below), whose sum is σ = 257644800. Its totient is φ = 20304000.

The previous prime is 76715621. The next prime is 76715657. The reversal of 76715640 is 4651767.

76715640 is a `hidden beast` number, since 7 + 6 + 7 + 1 + 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 = 76715595 and 76715604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270939 + ... + 271221.

It is an arithmetic number, because the mean of its divisors is an integer number (2012850).

Almost surely, 2^76715640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76715640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128822400).

76715640 is an abundant number, since it is smaller than the sum of its proper divisors (180929160).

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

76715640 is a wasteful number, since it uses less digits than its factorization.

76715640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 76715640 is about 8758.7464856565. The cubic root of 76715640 is about 424.9077354501.

It can be divided in two parts, 76 and 715640, that added together give a square (715716 = 846²).

The spelling of 76715640 in words is "seventy-six million, seven hundred fifteen thousand, six hundred forty".