83720908800 has 624 divisors, whose sum is σ = 311530596480. Its totient is φ = 22038773760.

The previous prime is 83720908751. The next prime is 83720908811. The reversal of 83720908800 is 880902738.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295833459 + ... + 295833741.

Almost surely, 2^83720908800 is an apocalyptic number.

83720908800 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 83720908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155765298240).

83720908800 is an abundant number, since it is smaller than the sum of its proper divisors (227809687680).

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

83720908800 is a wasteful number, since it uses less digits than its factorization.

83720908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 83720908800 in words is "eighty-three billion, seven hundred twenty million, nine hundred eight thousand, eight hundred".