75829686996780 has 1152 divisors, whose sum is σ = 261126607472640. Its totient is φ = 17722536099840.

The previous prime is 75829686996779. The next prime is 75829686996799. The reversal of 75829686996780 is 8769968692857.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61301282322 + ... + 61301283558.

It is an arithmetic number, because the mean of its divisors is an integer number (226672402320).

Almost surely, 2^{75829686996780} 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 75829686996780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130563303736320).

75829686996780 is an abundant number, since it is smaller than the sum of its proper divisors (185296920475860).

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

75829686996780 is a wasteful number, since it uses less digits than its factorization.

75829686996780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 39504568320, while the sum is 90.

The spelling of 75829686996780 in words is "seventy-five trillion, eight hundred twenty-nine billion, six hundred eighty-six million, nine hundred ninety-six thousand, seven hundred eighty".