76703412240 has 960 divisors, whose sum is σ = 334711077120. Its totient is φ = 16001556480.

The previous prime is 76703412223. The next prime is 76703412263. The reversal of 76703412240 is 4221430767.

76703412240 is a `hidden beast` number, since 7 + 6 + 70 + 341 + 2 + 240 = 666.

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 = 76703412195 and 76703412204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147223180 + ... + 147223700.

It is an arithmetic number, because the mean of its divisors is an integer number (348657372).

Almost surely, 2^76703412240 is an apocalyptic number.

76703412240 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 76703412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167355538560).

76703412240 is an abundant number, since it is smaller than the sum of its proper divisors (258007664880).

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

76703412240 is a wasteful number, since it uses less digits than its factorization.

76703412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 76703412240 in words is "seventy-six billion, seven hundred three million, four hundred twelve thousand, two hundred forty".