76745783028096 has 640 divisors, whose sum is σ = 281456018141760. Its totient is φ = 20215051960320.

The previous prime is 76745783028071. The next prime is 76745783028097. The reversal of 76745783028096 is 69082038754767.

76745783028096 is a `hidden beast` number, since 7 + 6 + 7 + 457 + 8 + 3 + 0 + 2 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76745783028097) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 751908906 + ... + 752010966.

Almost surely, 2^{76745783028096} 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 76745783028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140728009070880).

76745783028096 is an abundant number, since it is smaller than the sum of its proper divisors (204710235113664).

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

76745783028096 is a wasteful number, since it uses less digits than its factorization.

76745783028096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102904 (or 102883 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 76745783028096 in words is "seventy-six trillion, seven hundred forty-five billion, seven hundred eighty-three million, twenty-eight thousand, ninety-six".