83791980 has 144 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 20772864.

The previous prime is 83791951. The next prime is 83792041. The reversal of 83791980 is 8919738.

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

It is a congruent number.

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, 425242 + ... + 425438.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^83791980 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 83791980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

83791980 is an abundant number, since it is smaller than the sum of its proper divisors (188640180).

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

83791980 is a wasteful number, since it uses less digits than its factorization.

83791980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 83791980 is about 9153.7959339282. The cubic root of 83791980 is about 437.5900962747.

The spelling of 83791980 in words is "eighty-three million, seven hundred ninety-one thousand, nine hundred eighty".