83793600 has 378 divisors, whose sum is σ = 339637116. Its totient is φ = 19430400.

The previous prime is 83793587. The next prime is 83793607. The reversal of 83793600 is 639738.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83793607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3643189 + ... + 3643211.

Almost surely, 2^83793600 is an apocalyptic number.

83793600 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 83793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169818558).

83793600 is an abundant number, since it is smaller than the sum of its proper divisors (255843516).

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

83793600 is a wasteful number, since it uses less digits than its factorization.

83793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 83793600 is about 9153.8844213809. The cubic root of 83793600 is about 437.5929163194.

The spelling of 83793600 in words is "eighty-three million, seven hundred ninety-three thousand, six hundred".