76884064 has 48 divisors (see below), whose sum is σ = 162388800. Its totient is φ = 35702784.

The previous prime is 76884029. The next prime is 76884077. The reversal of 76884064 is 46048867.

It is a super-2 number, since 2×76884064² = 11822318594312192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76884064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42082 + ... + 43870.

It is an arithmetic number, because the mean of its divisors is an integer number (3383100).

Almost surely, 2^76884064 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 76884064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81194400).

76884064 is an abundant number, since it is smaller than the sum of its proper divisors (85504736).

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

76884064 is a wasteful number, since it uses less digits than its factorization.

76884064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 76884064 is about 8768.3558321957. The cubic root of 76884064 is about 425.2184602360.

The spelling of 76884064 in words is "seventy-six million, eight hundred eighty-four thousand, sixty-four".