82793766528 has 384 divisors, whose sum is σ = 264527452800. Its totient is φ = 24647639040.

The previous prime is 82793766527. The next prime is 82793766529. The reversal of 82793766528 is 82566739728.

82793766528 is a `hidden beast` number, since 8 + 2 + 79 + 37 + 6 + 6 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (82793766527) and next prime (82793766529).

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (60963840) is a multiple of the sum of its prime factors (640).

It is not an unprimeable number, because it can be changed into a prime (82793766527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298894326 + ... + 298894602.

It is an arithmetic number, because the mean of its divisors is an integer number (688873575).

Almost surely, 2^82793766528 is an apocalyptic number.

82793766528 is a gapful number since it is divisible by the number (88) 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 82793766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132263726400).

82793766528 is an abundant number, since it is smaller than the sum of its proper divisors (181733686272).

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

82793766528 is a wasteful number, since it uses less digits than its factorization.

82793766528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 82793766528 in words is "eighty-two billion, seven hundred ninety-three million, seven hundred sixty-six thousand, five hundred twenty-eight".