82415760 has 80 divisors (see below), whose sum is σ = 291993216. Its totient is φ = 18837504.

The previous prime is 82415747. The next prime is 82415771. The reversal of 82415760 is 6751428.

It is a tau number, because it is divible by the number of its divisors (80).

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, 22849 + ... + 26208.

Almost surely, 2^82415760 is an apocalyptic number.

82415760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82415760 is an abundant number, since it is smaller than the sum of its proper divisors (209577456).

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

82415760 is a wasteful number, since it uses less digits than its factorization.

82415760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49080 (or 49074 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 82415760 is about 9078.3126185432. The cubic root of 82415760 is about 435.1811638059.

The spelling of 82415760 in words is "eighty-two million, four hundred fifteen thousand, seven hundred sixty".