82757620800 has 126 divisors (see below), whose sum is σ = 294140175498. Its totient is φ = 22068695040.

The previous prime is 82757620787. The next prime is 82757620811. The reversal of 82757620800 is 802675728.

It can be written as a sum of positive squares in 3 ways, for example, as 27201245184 + 55556375616 = 164928^2 + 235704^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2859129 + ... + 2887928.

Almost surely, 2^82757620800 is an apocalyptic number.

82757620800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82757620800 is an abundant number, since it is smaller than the sum of its proper divisors (211382554698).

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

82757620800 is a wasteful number, since it uses less digits than its factorization.

82757620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747085 (or 5747067 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 82757620800 in words is "eighty-two billion, seven hundred fifty-seven million, six hundred twenty thousand, eight hundred".