82799236800 has 588 divisors, whose sum is σ = 349139648176. Its totient is φ = 18923673600.

The previous prime is 82799236789. The next prime is 82799236859. The reversal of 82799236800 is 863299728.

It is a happy number.

82799236800 is a `hidden beast` number, since 8 + 279 + 9 + 2 + 368 + 0 + 0 = 666.

It is a super-2 number, since 2×82799236800² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8159730 + ... + 8169870.

Almost surely, 2^82799236800 is an apocalyptic number.

82799236800 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 82799236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174569824088).

82799236800 is an abundant number, since it is smaller than the sum of its proper divisors (266340411376).

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

82799236800 is a wasteful number, since it uses less digits than its factorization.

82799236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 82799236800 in words is "eighty-two billion, seven hundred ninety-nine million, two hundred thirty-six thousand, eight hundred".