82940779440 has 280 divisors, whose sum is σ = 296184043008. Its totient is φ = 21577466880.

The previous prime is 82940779423. The next prime is 82940779459. The reversal of 82940779440 is 4497704928.

It is a happy number.

It is a super-2 number, since 2×82940779440² (a number of 23 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 2373777 + ... + 2408463.

Almost surely, 2^82940779440 is an apocalyptic number.

82940779440 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 82940779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148092021504).

82940779440 is an abundant number, since it is smaller than the sum of its proper divisors (213243263568).

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

82940779440 is a wasteful number, since it uses less digits than its factorization.

82940779440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34759 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 82940779440 in words is "eighty-two billion, nine hundred forty million, seven hundred seventy-nine thousand, four hundred forty".