82957776 has 80 divisors (see below), whose sum is σ = 237841920. Its totient is φ = 24703360.

The previous prime is 82957741. The next prime is 82957783. The reversal of 82957776 is 67775928.

Its product of digits (1481760) is a multiple of the sum of its prime factors (2744).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29821 + ... + 32483.

It is an arithmetic number, because the mean of its divisors is an integer number (2973024).

Almost surely, 2^82957776 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 82957776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118920960).

82957776 is an abundant number, since it is smaller than the sum of its proper divisors (154884144).

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

82957776 is a wasteful number, since it uses less digits than its factorization.

82957776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2738 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 82957776 is about 9108.1159412910. The cubic root of 82957776 is about 436.1330850918.

The spelling of 82957776 in words is "eighty-two million, nine hundred fifty-seven thousand, seven hundred seventy-six".