82763542800 has 480 divisors, whose sum is σ = 299862752000. Its totient is φ = 21678243840.

The previous prime is 82763542661. The next prime is 82763542811. The reversal of 82763542800 is 824536728.

82763542800 is a `hidden beast` number, since 8 + 2 + 7 + 635 + 4 + 2 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 208472202 + ... + 208472598.

Almost surely, 2^82763542800 is an apocalyptic number.

82763542800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82763542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149931376000).

82763542800 is an abundant number, since it is smaller than the sum of its proper divisors (217099209200).

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

82763542800 is a wasteful number, since it uses less digits than its factorization.

82763542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 82763542800 in words is "eighty-two billion, seven hundred sixty-three million, five hundred forty-two thousand, eight hundred".