781124875776 has 960 divisors, whose sum is σ = 2763808819200. Its totient is φ = 207681159168.

The previous prime is 781124875709. The next prime is 781124875781. The reversal of 781124875776 is 677578421187.

781124875776 is a `hidden beast` number, since 7 + 8 + 1 + 12 + 48 + 7 + 577 + 6 = 666.

It is a super-2 number, since 2×781124875776² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4792177071 + ... + 4792177233.

It is an arithmetic number, because the mean of its divisors is an integer number (2878967520).

Almost surely, 2^781124875776 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 781124875776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381904409600).

781124875776 is an abundant number, since it is smaller than the sum of its proper divisors (1982683943424).

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

781124875776 is a wasteful number, since it uses less digits than its factorization.

781124875776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its digits is 36879360, while the sum is 63.

The spelling of 781124875776 in words is "seven hundred eighty-one billion, one hundred twenty-four million, eight hundred seventy-five thousand, seven hundred seventy-six".