83780944 has 40 divisors (see below), whose sum is σ = 177801120. Its totient is φ = 38007168.

The previous prime is 83780929. The next prime is 83780989. The reversal of 83780944 is 44908738.

It is a super-2 number, since 2×83780944² = 14038493155062272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83780944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8859 + ... + 15685.

It is an arithmetic number, because the mean of its divisors is an integer number (4445028).

Almost surely, 2^83780944 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 83780944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88900560).

83780944 is an abundant number, since it is smaller than the sum of its proper divisors (94020176).

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

83780944 is a wasteful number, since it uses less digits than its factorization.

83780944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 83780944 is about 9153.1931040484. The cubic root of 83780944 is about 437.5708841881.

The spelling of 83780944 in words is "eighty-three million, seven hundred eighty thousand, nine hundred forty-four".