768907440 has 360 divisors, whose sum is σ = 3073490784. Its totient is φ = 168652800.

The previous prime is 768907387. The next prime is 768907459. The reversal of 768907440 is 44709867.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12605010 + ... + 12605070.

Almost surely, 2^768907440 is an apocalyptic number.

768907440 is a gapful number since it is divisible by the number (70) 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 768907440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536745392).

768907440 is an abundant number, since it is smaller than the sum of its proper divisors (2304583344).

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

768907440 is a wasteful number, since it uses less digits than its factorization.

768907440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 768907440 is about 27729.1802980182. The cubic root of 768907440 is about 916.1319324596.

The spelling of 768907440 in words is "seven hundred sixty-eight million, nine hundred seven thousand, four hundred forty".