82714060800 has 432 divisors, whose sum is σ = 338559268320. Its totient is φ = 18905333760.

The previous prime is 82714060769. The next prime is 82714060817. The reversal of 82714060800 is 806041728.

82714060800 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 40 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3212779 + ... + 3238421.

It is an arithmetic number, because the mean of its divisors is an integer number (783702010).

Almost surely, 2^82714060800 is an apocalyptic number.

82714060800 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 82714060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169279634160).

82714060800 is an abundant number, since it is smaller than the sum of its proper divisors (255845207520).

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

82714060800 is a wasteful number, since it uses less digits than its factorization.

82714060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25688 (or 25660 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 82714060800 in words is "eighty-two billion, seven hundred fourteen million, sixty thousand, eight hundred".