76856892 has 72 divisors (see below), whose sum is σ = 217719936. Its totient is φ = 21000672.

The previous prime is 76856887. The next prime is 76856909. The reversal of 76856892 is 29865867.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10683 + ... + 16365.

It is an arithmetic number, because the mean of its divisors is an integer number (3023888).

Almost surely, 2^76856892 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 76856892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108859968).

76856892 is an abundant number, since it is smaller than the sum of its proper divisors (140863044).

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

76856892 is a wasteful number, since it uses less digits than its factorization.

76856892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5718 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 76856892 is about 8766.8062599786. The cubic root of 76856892 is about 425.1683614387.

Subtracting from 76856892 its reverse (29865867), we obtain a square (46991025 = 6855²).

The spelling of 76856892 in words is "seventy-six million, eight hundred fifty-six thousand, eight hundred ninety-two".