76607640 has 128 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 20173824.

The previous prime is 76607623. The next prime is 76607653. The reversal of 76607640 is 4670667.

76607640 is a `hidden beast` number, since 7 + 6 + 6 + 0 + 7 + 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 = 76607595 and 76607604.

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, 95722 + ... + 96518.

Almost surely, 2^76607640 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 76607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

76607640 is an abundant number, since it is smaller than the sum of its proper divisors (181944360).

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

76607640 is a wasteful number, since it uses less digits than its factorization.

76607640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76607640 is about 8752.5790484862. The cubic root of 76607640 is about 424.7082472845.

The spelling of 76607640 in words is "seventy-six million, six hundred seven thousand, six hundred forty".