76767575040 has 880 divisors, whose sum is σ = 307092250080. Its totient is φ = 18207866880.

The previous prime is 76767574999. The next prime is 76767575051. The reversal of 76767575040 is 4057576767.

76767575040 is a `hidden beast` number, since 7 + 6 + 7 + 67 + 575 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156349195 + ... + 156349685.

It is an arithmetic number, because the mean of its divisors is an integer number (348968466).

Almost surely, 2^76767575040 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 76767575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153546125040).

76767575040 is an abundant number, since it is smaller than the sum of its proper divisors (230324675040).

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

76767575040 is a wasteful number, since it uses less digits than its factorization.

76767575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 76767575040 in words is "seventy-six billion, seven hundred sixty-seven million, five hundred seventy-five thousand, forty".