76104640 has 56 divisors (see below), whose sum is σ = 183062880. Its totient is φ = 30133248.

The previous prime is 76104629. The next prime is 76104647. The reversal of 76104640 is 4640167.

It is a junction number, because it is equal to n+sod(n) for n = 76104599 and 76104608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76104647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31806 + ... + 34114.

It is an arithmetic number, because the mean of its divisors is an integer number (3268980).

Almost surely, 2^76104640 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 76104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91531440).

76104640 is an abundant number, since it is smaller than the sum of its proper divisors (106958240).

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

76104640 is a wasteful number, since it uses less digits than its factorization.

76104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 76104640 is about 8723.7973383155. The cubic root of 76104640 is about 423.7766712821.

The spelling of 76104640 in words is "seventy-six million, one hundred four thousand, six hundred forty".