76607460 has 72 divisors (see below), whose sum is σ = 236219256. Its totient is φ = 20090880.

The previous prime is 76607437. The next prime is 76607477. The reversal of 76607460 is 6470667.

76607460 is a `hidden beast` number, since 7 + 6 + 607 + 46 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 75064896 = 1242^2 + 8664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7492 + ... + 14468.

It is an arithmetic number, because the mean of its divisors is an integer number (3280823).

Almost surely, 2^76607460 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 76607460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118109628).

76607460 is an abundant number, since it is smaller than the sum of its proper divisors (159611796).

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

76607460 is a wasteful number, since it uses less digits than its factorization.

76607460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7053 (or 7048 counting only the distinct ones).

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

The square root of 76607460 is about 8752.5687657967. The cubic root of 76607460 is about 424.7079146478.

The spelling of 76607460 in words is "seventy-six million, six hundred seven thousand, four hundred sixty".