76656720 has 160 divisors (see below), whose sum is σ = 274839552. Its totient is φ = 17312256.

The previous prime is 76656667. The next prime is 76656721. The reversal of 76656720 is 2765667.

It is a super-3 number, since 3×76656720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76656721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172819 + ... + 173261.

Almost surely, 2^76656720 is an apocalyptic number.

76656720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137419776).

76656720 is an abundant number, since it is smaller than the sum of its proper divisors (198182832).

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

76656720 is a wasteful number, since it uses less digits than its factorization.

76656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 76656720 is about 8755.3823445924. The cubic root of 76656720 is about 424.7989267992.

The spelling of 76656720 in words is "seventy-six million, six hundred fifty-six thousand, seven hundred twenty".