83077760 has 64 divisors (see below), whose sum is σ = 199756800. Its totient is φ = 33039360.

The previous prime is 83077703. The next prime is 83077769. The reversal of 83077760 is 6777038.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (83077769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173201 + ... + 173679.

It is an arithmetic number, because the mean of its divisors is an integer number (3121200).

Almost surely, 2^83077760 is an apocalyptic number.

83077760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99878400).

83077760 is an abundant number, since it is smaller than the sum of its proper divisors (116679040).

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

83077760 is a wasteful number, since it uses less digits than its factorization.

83077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 83077760 is about 9114.7002144887. The cubic root of 83077760 is about 436.3432473638.

The spelling of 83077760 in words is "eighty-three million, seventy-seven thousand, seven hundred sixty".