82762090080 has 384 divisors, whose sum is σ = 280647037440. Its totient is φ = 20428062720.

The previous prime is 82762090079. The next prime is 82762090087. The reversal of 82762090080 is 8009026728.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82762090087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148585162 + ... + 148585718.

It is an arithmetic number, because the mean of its divisors is an integer number (730851660).

Almost surely, 2^82762090080 is an apocalyptic number.

82762090080 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 82762090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140323518720).

82762090080 is an abundant number, since it is smaller than the sum of its proper divisors (197884947360).

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

82762090080 is a wasteful number, since it uses less digits than its factorization.

82762090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 82762090080 in words is "eighty-two billion, seven hundred sixty-two million, ninety thousand, eighty".