76830431040 has 1120 divisors, whose sum is σ = 320721337728. Its totient is φ = 17396121600.

The previous prime is 76830431039. The next prime is 76830431053. The reversal of 76830431040 is 4013403867.

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 = 76830430986 and 76830431004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 586491775 + ... + 586491905.

Almost surely, 2^76830431040 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 76830431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160360668864).

76830431040 is an abundant number, since it is smaller than the sum of its proper divisors (243890906688).

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

76830431040 is a wasteful number, since it uses less digits than its factorization.

76830431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 76830431040 in words is "seventy-six billion, eight hundred thirty million, four hundred thirty-one thousand, forty".