82766903600 has 60 divisors (see below), whose sum is σ = 201571495176. Its totient is φ = 32653232640.

The previous prime is 82766903591. The next prime is 82766903629. The reversal of 82766903600 is 630966728.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1388042 + ... + 1446441.

Almost surely, 2^82766903600 is an apocalyptic number.

82766903600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82766903600 is an abundant number, since it is smaller than the sum of its proper divisors (118804591576).

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

82766903600 is a wasteful number, since it uses less digits than its factorization.

82766903600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834574 (or 2834563 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 82766903600 in words is "eighty-two billion, seven hundred sixty-six million, nine hundred three thousand, six hundred".