76772608 has 72 divisors (see below), whose sum is σ = 169243200. Its totient is φ = 34467840.

The previous prime is 76772603. The next prime is 76772611. The reversal of 76772608 is 80627767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76772603) 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, 385693 + ... + 385891.

It is an arithmetic number, because the mean of its divisors is an integer number (2350600).

Almost surely, 2^76772608 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 76772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84621600).

76772608 is an abundant number, since it is smaller than the sum of its proper divisors (92470592).

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

76772608 is a wasteful number, since it uses less digits than its factorization.

76772608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The square root of 76772608 is about 8761.9979456743. The cubic root of 76772608 is about 425.0128863451.

The spelling of 76772608 in words is "seventy-six million, seven hundred seventy-two thousand, six hundred eight".