83790784 has 112 divisors (see below), whose sum is σ = 212140800. Its totient is φ = 32551680.

The previous prime is 83790767. The next prime is 83790793. The reversal of 83790784 is 48709738.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241299 + ... + 241645.

Almost surely, 2^83790784 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 83790784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106070400).

83790784 is an abundant number, since it is smaller than the sum of its proper divisors (128350016).

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

83790784 is a wasteful number, since it uses less digits than its factorization.

83790784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 83790784 is about 9153.7306056056. The cubic root of 83790784 is about 437.5880142925.

The spelling of 83790784 in words is "eighty-three million, seven hundred ninety thousand, seven hundred eighty-four".