768157992 has 192 divisors, whose sum is σ = 2596339200. Its totient is φ = 207852480.

The previous prime is 768157969. The next prime is 768157997. The reversal of 768157992 is 299751867.

768157992 is a `hidden beast` number, since 7 + 68 + 1 + 579 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (768157997) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 257067 + ... + 260037.

It is an arithmetic number, because the mean of its divisors is an integer number (13522600).

Almost surely, 2^768157992 is an apocalyptic number.

768157992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768157992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298169600).

768157992 is an abundant number, since it is smaller than the sum of its proper divisors (1828181208).

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

768157992 is a wasteful number, since it uses less digits than its factorization.

768157992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3002 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 768157992 is about 27715.6632971322. The cubic root of 768157992 is about 915.8341868525.

The spelling of 768157992 in words is "seven hundred sixty-eight million, one hundred fifty-seven thousand, nine hundred ninety-two".