76884768 has 192 divisors, whose sum is σ = 241678080. Its totient is φ = 23721984.

The previous prime is 76884739. The next prime is 76884793. The reversal of 76884768 is 86748867.

It is a super-2 number, since 2×76884768² = 11822535100827648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3612672) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053180 + ... + 1053252.

It is an arithmetic number, because the mean of its divisors is an integer number (1258740).

Almost surely, 2^76884768 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 76884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

76884768 is an abundant number, since it is smaller than the sum of its proper divisors (164793312).

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

76884768 is a wasteful number, since it uses less digits than its factorization.

76884768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 76884768 is about 8768.3959764600. The cubic root of 76884768 is about 425.2197580900.

The spelling of 76884768 in words is "seventy-six million, eight hundred eighty-four thousand, seven hundred sixty-eight".