83777130 has 48 divisors (see below), whose sum is σ = 220596480. Its totient is φ = 22055904.

The previous prime is 83777119. The next prime is 83777147. The reversal of 83777130 is 3177738.

It is a happy number.

It is a super-2 number, since 2×83777130² = 14037215022073800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219 + ... + 13001.

It is an arithmetic number, because the mean of its divisors is an integer number (4595760).

Almost surely, 2^83777130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83777130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110298240).

83777130 is an abundant number, since it is smaller than the sum of its proper divisors (136819350).

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

83777130 is a wasteful number, since it uses less digits than its factorization.

83777130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 83777130 is about 9152.9847590827. The cubic root of 83777130 is about 437.5642441711.

The spelling of 83777130 in words is "eighty-three million, seven hundred seventy-seven thousand, one hundred thirty".