768303072 has 72 divisors (see below), whose sum is σ = 2189304936. Its totient is φ = 255580416.

The previous prime is 768303013. The next prime is 768303089. The reversal of 768303072 is 270303867.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×768303072² = 1180579220889274368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155098 + ... + 159974.

It is an arithmetic number, because the mean of its divisors is an integer number (30407013).

Almost surely, 2^768303072 is an apocalyptic number.

768303072 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 768303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094652468).

768303072 is an abundant number, since it is smaller than the sum of its proper divisors (1421001864).

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

768303072 is a wasteful number, since it uses less digits than its factorization.

768303072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 768303072 is about 27718.2804661472. The cubic root of 768303072 is about 915.8918402958.

The spelling of 768303072 in words is "seven hundred sixty-eight million, three hundred three thousand, seventy-two".