82277422920 has 1536 divisors, whose sum is σ = 377042688000. Its totient is φ = 15728670720.

The previous prime is 82277422897. The next prime is 82277422951. The reversal of 82277422920 is 2922477228.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 475591954 + ... + 475592126.

It is an arithmetic number, because the mean of its divisors is an integer number (245470500).

Almost surely, 2^82277422920 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 82277422920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188521344000).

82277422920 is an abundant number, since it is smaller than the sum of its proper divisors (294765265080).

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

82277422920 is a wasteful number, since it uses less digits than its factorization.

82277422920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 82277422920 in words is "eighty-two billion, two hundred seventy-seven million, four hundred twenty-two thousand, nine hundred twenty".