768271392 has 360 divisors, whose sum is σ = 2753061696. Its totient is φ = 209164032.

The previous prime is 768271381. The next prime is 768271409. The reversal of 768271392 is 293172867.

It is a nude number because it is divisible by every one of its digits.

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 59 ways as a sum of consecutive naturals, for example, 2921053 + ... + 2921315.

Almost surely, 2^768271392 is an apocalyptic number.

768271392 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 768271392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376530848).

768271392 is an abundant number, since it is smaller than the sum of its proper divisors (1984790304).

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

768271392 is a wasteful number, since it uses less digits than its factorization.

768271392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 768271392 is about 27717.7089962356. The cubic root of 768271392 is about 915.8792515777.

The spelling of 768271392 in words is "seven hundred sixty-eight million, two hundred seventy-one thousand, three hundred ninety-two".