76809568 has 48 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 33782400.

The previous prime is 76809559. The next prime is 76809569. The reversal of 76809568 is 86590867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76809569) 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, 7393 + ... + 14431.

It is an arithmetic number, because the mean of its divisors is an integer number (3548160).

Almost surely, 2^76809568 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 76809568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

76809568 is an abundant number, since it is smaller than the sum of its proper divisors (93502112).

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

76809568 is a wasteful number, since it uses less digits than its factorization.

76809568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 76809568 is about 8764.1067998970. The cubic root of 76809568 is about 425.0810788796.

It can be divided in two parts, 76809 and 568, that added together give a palindrome (77377).

The spelling of 76809568 in words is "seventy-six million, eight hundred nine thousand, five hundred sixty-eight".