76313664 has 168 divisors, whose sum is σ = 259616448. Its totient is φ = 21772800.

The previous prime is 76313659. The next prime is 76313687. The reversal of 76313664 is 46631367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×76313664³ (a number of 25 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108514 + ... + 109214.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^76313664 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 76313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808224).

76313664 is an abundant number, since it is smaller than the sum of its proper divisors (183302784).

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

76313664 is an equidigital number, since it uses as much as digits as its factorization.

76313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 713 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 76313664 is about 8735.7692277212. The cubic root of 76313664 is about 424.1642890100.

The spelling of 76313664 in words is "seventy-six million, three hundred thirteen thousand, six hundred sixty-four".