768597120 has 256 divisors, whose sum is σ = 2866608000. Its totient is φ = 194088960.

The previous prime is 768597119. The next prime is 768597143. The reversal of 768597120 is 21795867.

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 31 ways as a sum of consecutive naturals, for example, 327150 + ... + 329490.

Almost surely, 2^768597120 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 768597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433304000).

768597120 is an abundant number, since it is smaller than the sum of its proper divisors (2098010880).

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

768597120 is a wasteful number, since it uses less digits than its factorization.

768597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 768597120 is about 27723.5841838677. The cubic root of 768597120 is about 916.0086699789.

The spelling of 768597120 in words is "seven hundred sixty-eight million, five hundred ninety-seven thousand, one hundred twenty".