83760760 has 48 divisors (see below), whose sum is σ = 194826600. Its totient is φ = 32408640.

The previous prime is 83760739. The next prime is 83760763. The reversal of 83760760 is 6706738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83760763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37351 + ... + 39529.

Almost surely, 2^83760760 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 83760760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97413300).

83760760 is an abundant number, since it is smaller than the sum of its proper divisors (111065840).

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

83760760 is a wasteful number, since it uses less digits than its factorization.

83760760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 83760760 is about 9152.0904715808. The cubic root of 83760760 is about 437.5357423860.

The spelling of 83760760 in words is "eighty-three million, seven hundred sixty thousand, seven hundred sixty".