82316075760 has 120 divisors (see below), whose sum is σ = 290994596880. Its totient is φ = 20795636736.

The previous prime is 82316075707. The next prime is 82316075771. The reversal of 82316075760 is 6757061328.

82316075760 is a `hidden beast` number, since 8 + 2 + 31 + 607 + 5 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2994949 + ... + 3022308.

It is an arithmetic number, because the mean of its divisors is an integer number (2424954974).

Almost surely, 2^82316075760 is an apocalyptic number.

82316075760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82316075760 is an abundant number, since it is smaller than the sum of its proper divisors (208678521120).

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

82316075760 is a wasteful number, since it uses less digits than its factorization.

82316075760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017295 (or 6017286 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 82316075760 in words is "eighty-two billion, three hundred sixteen million, seventy-five thousand, seven hundred sixty".