83780580 has 96 divisors (see below), whose sum is σ = 259547904. Its totient is φ = 20058624.

The previous prime is 83780563. The next prime is 83780581. The reversal of 83780580 is 8508738.

It is a super-3 number, since 3×83780580³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (83780581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27409 + ... + 30311.

It is an arithmetic number, because the mean of its divisors is an integer number (2703624).

Almost surely, 2^83780580 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 83780580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129773952).

83780580 is an abundant number, since it is smaller than the sum of its proper divisors (175767324).

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

83780580 is a wasteful number, since it uses less digits than its factorization.

83780580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 83780580 is about 9153.1732202554. The cubic root of 83780580 is about 437.5702504878.

The spelling of 83780580 in words is "eighty-three million, seven hundred eighty thousand, five hundred eighty".