83734020300 has 288 divisors, whose sum is σ = 297660948480. Its totient is φ = 17745696000.

The previous prime is 83734020269. The next prime is 83734020341. The reversal of 83734020300 is 302043738.

It is a super-2 number, since 2×83734020300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1852975 + ... + 1897625.

It is an arithmetic number, because the mean of its divisors is an integer number (1033544960).

Almost surely, 2^83734020300 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 83734020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148830474240).

83734020300 is an abundant number, since it is smaller than the sum of its proper divisors (213926928180).

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

83734020300 is a wasteful number, since it uses less digits than its factorization.

83734020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44741 (or 44734 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 83734020300 in words is "eighty-three billion, seven hundred thirty-four million, twenty thousand, three hundred".