83078300 has 72 divisors (see below), whose sum is σ = 192925152. Its totient is φ = 30976000.

The previous prime is 83078299. The next prime is 83078311. The reversal of 83078300 is 387038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93860 + ... + 94740.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 2^83078300 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 83078300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96462576).

83078300 is an abundant number, since it is smaller than the sum of its proper divisors (109846852).

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

83078300 is a wasteful number, since it uses less digits than its factorization.

83078300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 83078300 is about 9114.7298369178. The cubic root of 83078300 is about 436.3441927626.

The spelling of 83078300 in words is "eighty-three million, seventy-eight thousand, three hundred".