76097664 has 128 divisors (see below), whose sum is σ = 227908800. Its totient is φ = 24993792.

The previous prime is 76097663. The next prime is 76097677. The reversal of 76097664 is 46679067.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (76097663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335119 + ... + 335345.

Almost surely, 2^76097664 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 76097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113954400).

76097664 is an abundant number, since it is smaller than the sum of its proper divisors (151811136).

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

76097664 is a wasteful number, since it uses less digits than its factorization.

76097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 76097664 is about 8723.3975032667. The cubic root of 76097664 is about 423.7637226349.

The spelling of 76097664 in words is "seventy-six million, ninety-seven thousand, six hundred sixty-four".