768757894204104 has 512 divisors, whose sum is σ = 2596440677376000. Its totient is φ = 205861967078400.

The previous prime is 768757894204103. The next prime is 768757894204109. The reversal of 768757894204104 is 401402498757867.

768757894204104 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 578 + 9 + 4 + 2 + 0 + 41 + 0 + 4 = 666.

It is a super-2 number, since 2×768757894204104² (a number of 31 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (768757894204103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3020995434 + ... + 3021249894.

It is an arithmetic number, because the mean of its divisors is an integer number (5071173198000).

Almost surely, 2^{768757894204104} 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 768757894204104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298220338688000).

768757894204104 is an abundant number, since it is smaller than the sum of its proper divisors (1827682783171896).

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

768757894204104 is a wasteful number, since it uses less digits than its factorization.

768757894204104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255626 (or 255616 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 768757894204104 in words is "seven hundred sixty-eight trillion, seven hundred fifty-seven billion, eight hundred ninety-four million, two hundred four thousand, one hundred four".