82772856 has 96 divisors (see below), whose sum is σ = 231660000. Its totient is φ = 26687232.

The previous prime is 82772843. The next prime is 82772857. The reversal of 82772856 is 65827728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82772857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415845 + ... + 416043.

It is an arithmetic number, because the mean of its divisors is an integer number (2413125).

Almost surely, 2^82772856 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 82772856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115830000).

82772856 is an abundant number, since it is smaller than the sum of its proper divisors (148887144).

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

82772856 is a wasteful number, since it uses less digits than its factorization.

82772856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 82772856 is about 9097.9588919713. The cubic root of 82772856 is about 435.8087846530.

The spelling of 82772856 in words is "eighty-two million, seven hundred seventy-two thousand, eight hundred fifty-six".