76461624 has 128 divisors (see below), whose sum is σ = 231168000. Its totient is φ = 23328000.

The previous prime is 76461613. The next prime is 76461653. The reversal of 76461624 is 42616467.

76461624 is a `hidden beast` number, since 7 + 646 + 1 + 6 + 2 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126924 + ... + 127524.

It is an arithmetic number, because the mean of its divisors is an integer number (1806000).

Almost surely, 2^76461624 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 76461624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115584000).

76461624 is an abundant number, since it is smaller than the sum of its proper divisors (154706376).

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

76461624 is a wasteful number, since it uses less digits than its factorization.

76461624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 76461624 is about 8744.2337571682. The cubic root of 76461624 is about 424.4382409623.

The spelling of 76461624 in words is "seventy-six million, four hundred sixty-one thousand, six hundred twenty-four".