76540464 has 400 divisors, whose sum is σ = 302480640. Its totient is φ = 18040320.

The previous prime is 76540423. The next prime is 76540507. The reversal of 76540464 is 46404567.

76540464 is a `hidden beast` number, since 76 + 540 + 46 + 4 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 1297267 + ... + 1297325.

Almost surely, 2^76540464 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 76540464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

76540464 is an abundant number, since it is smaller than the sum of its proper divisors (225940176).

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

76540464 is a wasteful number, since it uses less digits than its factorization.

76540464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 76540464 is about 8748.7407093821. The cubic root of 76540464 is about 424.5840710513.

The spelling of 76540464 in words is "seventy-six million, five hundred forty thousand, four hundred sixty-four".