76783140 has 288 divisors, whose sum is σ = 288148224. Its totient is φ = 16796160.

The previous prime is 76783099. The next prime is 76783151. The reversal of 76783140 is 4138767.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76783095 and 76783104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1258710 + ... + 1258770.

Almost surely, 2^76783140 is an apocalyptic number.

76783140 is a gapful number since it is divisible by the number (70) 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 76783140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

76783140 is an abundant number, since it is smaller than the sum of its proper divisors (211365084).

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

76783140 is a wasteful number, since it uses less digits than its factorization.

76783140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76783140 is about 8762.5989295414. The cubic root of 76783140 is about 425.0323204947.

The spelling of 76783140 in words is "seventy-six million, seven hundred eighty-three thousand, one hundred forty".