76884608 has 64 divisors (see below), whose sum is σ = 164413800. Its totient is φ = 35684352.

The previous prime is 76884601. The next prime is 76884623. The reversal of 76884608 is 80648867.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69089344 + 7795264 = 8312^2 + 2792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×76884608² = 11822485894627328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76884601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193466 + ... + 193862.

Almost surely, 2^76884608 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 76884608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82206900).

76884608 is an abundant number, since it is smaller than the sum of its proper divisors (87529192).

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

76884608 is a wasteful number, since it uses less digits than its factorization.

76884608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 76884608 is about 8768.3868527797. The cubic root of 76884608 is about 425.2194631239.

It can be divided in two parts, 7688 and 4608, that multiplied together give a square (35426304 = 5952²).

The spelling of 76884608 in words is "seventy-six million, eight hundred eighty-four thousand, six hundred eight".