82762680 has 384 divisors, whose sum is σ = 341521920. Its totient is φ = 15575040.

The previous prime is 82762679. The next prime is 82762697. The reversal of 82762680 is 8626728.

It is a super-2 number, since 2×82762680² = 13699322401564800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1561534 + ... + 1561586.

It is an arithmetic number, because the mean of its divisors is an integer number (889380).

Almost surely, 2^82762680 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 82762680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170760960).

82762680 is an abundant number, since it is smaller than the sum of its proper divisors (258759240).

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

82762680 is a wasteful number, since it uses less digits than its factorization.

82762680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 82762680 is about 9097.3996284653. The cubic root of 82762680 is about 435.7909246437.

The spelling of 82762680 in words is "eighty-two million, seven hundred sixty-two thousand, six hundred eighty".