82795334400 has 324 divisors, whose sum is σ = 303240461160. Its totient is φ = 21539635200.

The previous prime is 82795334389. The next prime is 82795334411. The reversal of 82795334400 is 443359728.

82795334400 is a `hidden beast` number, since 8 + 2 + 79 + 533 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82795334389) and next prime (82795334411).

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 35 ways as a sum of consecutive naturals, for example, 2344071 + ... + 2379129.

Almost surely, 2^82795334400 is an apocalyptic number.

82795334400 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 82795334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151620230580).

82795334400 is an abundant number, since it is smaller than the sum of its proper divisors (220445126760).

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

82795334400 is a wasteful number, since it uses less digits than its factorization.

82795334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35132 (or 35110 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 82795334400 in words is "eighty-two billion, seven hundred ninety-five million, three hundred thirty-four thousand, four hundred".