83776427280 has 1920 divisors, whose sum is σ = 393094840320. Its totient is φ = 16094453760.

The previous prime is 83776427263. The next prime is 83776427311. The reversal of 83776427280 is 8272467738.

It is a super-2 number, since 2×83776427280² (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 383 ways as a sum of consecutive naturals, for example, 1179949645 + ... + 1179949715.

It is an arithmetic number, because the mean of its divisors is an integer number (204736896).

Almost surely, 2^83776427280 is an apocalyptic number.

83776427280 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 83776427280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196547420160).

83776427280 is an abundant number, since it is smaller than the sum of its proper divisors (309318413040).

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

83776427280 is a wasteful number, since it uses less digits than its factorization.

83776427280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 83776427280 in words is "eighty-three billion, seven hundred seventy-six million, four hundred twenty-seven thousand, two hundred eighty".