76190464 has 144 divisors (see below), whose sum is σ = 191612736. Its totient is φ = 29491200.

The previous prime is 76190449. The next prime is 76190479. The reversal of 76190464 is 46409167.

It is an interprime number because it is at equal distance from previous prime (76190449) and next prime (76190479).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248994 + ... + 1249054.

It is an arithmetic number, because the mean of its divisors is an integer number (1330644).

Almost surely, 2^76190464 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 76190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95806368).

76190464 is an abundant number, since it is smaller than the sum of its proper divisors (115422272).

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

76190464 is a wasteful number, since it uses less digits than its factorization.

76190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 76190464 is about 8728.7149111424. The cubic root of 76190464 is about 423.9359105694.

The spelling of 76190464 in words is "seventy-six million, one hundred ninety thousand, four hundred sixty-four".