82876401720 has 384 divisors, whose sum is σ = 333221990400. Its totient is φ = 17945577216.

The previous prime is 82876401719. The next prime is 82876401823. The reversal of 82876401720 is 2710467828.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2713977 + ... + 2744343.

It is an arithmetic number, because the mean of its divisors is an integer number (867765600).

Almost surely, 2^82876401720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82876401720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166610995200).

82876401720 is an abundant number, since it is smaller than the sum of its proper divisors (250345588680).

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

82876401720 is a wasteful number, since it uses less digits than its factorization.

82876401720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30432 (or 30403 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 82876401720 in words is "eighty-two billion, eight hundred seventy-six million, four hundred one thousand, seven hundred twenty".