82410720 has 96 divisors (see below), whose sum is σ = 296690688. Its totient is φ = 18835968.

The previous prime is 82410719. The next prime is 82410739. The reversal of 82410720 is 2701428.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8904 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528).

Almost surely, 2^82410720 is an apocalyptic number.

82410720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82410720 is an abundant number, since it is smaller than the sum of its proper divisors (214279968).

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

82410720 is a wasteful number, since it uses less digits than its factorization.

82410720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24552 (or 24544 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 82410720 is about 9078.0350296746. The cubic root of 82410720 is about 435.1722926961.

The spelling of 82410720 in words is "eighty-two million, four hundred ten thousand, seven hundred twenty".