76313776 has 60 divisors (see below), whose sum is σ = 187655400. Its totient is φ = 29729280.

The previous prime is 76313749. The next prime is 76313807. The reversal of 76313776 is 67731367.

It is a super-3 number, since 3×76313776³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4200 + ... + 13048.

It is an arithmetic number, because the mean of its divisors is an integer number (3127590).

Almost surely, 2^76313776 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 76313776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93827700).

76313776 is an abundant number, since it is smaller than the sum of its proper divisors (111341624).

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

76313776 is a wasteful number, since it uses less digits than its factorization.

76313776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8869 counting only the distinct ones).

The product of its digits is 111132, while the sum is 40.

The square root of 76313776 is about 8735.7756381446. The cubic root of 76313776 is about 424.1644965149.

The spelling of 76313776 in words is "seventy-six million, three hundred thirteen thousand, seven hundred seventy-six".