83707726080 has 288 divisors, whose sum is σ = 292537018368. Its totient is φ = 20230758400.

The previous prime is 83707726061. The next prime is 83707726093. The reversal of 83707726080 is 8062770738.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 14654425 + ... + 14660135.

It is an arithmetic number, because the mean of its divisors is an integer number (1015753536).

Almost surely, 2^83707726080 is an apocalyptic number.

83707726080 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 83707726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146268509184).

83707726080 is an abundant number, since it is smaller than the sum of its proper divisors (208829292288).

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

83707726080 is a wasteful number, since it uses less digits than its factorization.

83707726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 83707726080 in words is "eighty-three billion, seven hundred seven million, seven hundred twenty-six thousand, eighty".