768191040 has 392 divisors, whose sum is σ = 2848401720. Its totient is φ = 197074944.

The previous prime is 768190991. The next prime is 768191107. The reversal of 768191040 is 40191867.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 660695616 = 10368^2 + 25704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 768190986 and 768191004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8631316 + ... + 8631404.

Almost surely, 2^768191040 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 768191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424200860).

768191040 is an abundant number, since it is smaller than the sum of its proper divisors (2080210680).

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

768191040 is an equidigital number, since it uses as much as digits as its factorization.

768191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 768191040 is about 27716.2594878891. The cubic root of 768191040 is about 915.8473204589.

The spelling of 768191040 in words is "seven hundred sixty-eight million, one hundred ninety-one thousand, forty".