82809760 has 48 divisors (see below), whose sum is σ = 213427872. Its totient is φ = 30112000.

The previous prime is 82809743. The next prime is 82809763. The reversal of 82809760 is 6790828.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82809763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21766 + ... + 25285.

It is an arithmetic number, because the mean of its divisors is an integer number (4446414).

Almost surely, 2^82809760 is an apocalyptic number.

82809760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82809760 is an abundant number, since it is smaller than the sum of its proper divisors (130618112).

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

82809760 is a wasteful number, since it uses less digits than its factorization.

82809760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47077 (or 47069 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 82809760 is about 9099.9868131773. The cubic root of 82809760 is about 435.8735429911.

The spelling of 82809760 in words is "eighty-two million, eight hundred nine thousand, seven hundred sixty".