82770816 has 64 divisors (see below), whose sum is σ = 220809600. Its totient is φ = 27471360.

The previous prime is 82770799. The next prime is 82770827. The reversal of 82770816 is 61807728.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168331 + ... + 168821.

It is an arithmetic number, because the mean of its divisors is an integer number (3450150).

Almost surely, 2^82770816 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 82770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110404800).

82770816 is an abundant number, since it is smaller than the sum of its proper divisors (138038784).

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

82770816 is a wasteful number, since it uses less digits than its factorization.

82770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 82770816 is about 9097.8467782218. The cubic root of 82770816 is about 435.8052043439.

The spelling of 82770816 in words is "eighty-two million, seven hundred seventy thousand, eight hundred sixteen".