82762583820720 has 160 divisors (see below), whose sum is σ = 257083070344704. Its totient is φ = 22025417164800.

The previous prime is 82762583820667. The next prime is 82762583820737. The reversal of 82762583820720 is 2702838526728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235634835 + ... + 235985805.

Almost surely, 2^{82762583820720} is an apocalyptic number.

82762583820720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82762583820720 is an abundant number, since it is smaller than the sum of its proper divisors (174320486523984).

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

82762583820720 is a wasteful number, since it uses less digits than its factorization.

82762583820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352971 (or 352965 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 82762583820720 in words is "eighty-two trillion, seven hundred sixty-two billion, five hundred eighty-three million, eight hundred twenty thousand, seven hundred twenty".