760020768 has 144 divisors (see below), whose sum is σ = 2464685496. Its totient is φ = 220078080.

The previous prime is 760020761. The next prime is 760020773. The reversal of 760020768 is 867020067.

It can be written as a sum of positive squares in 4 ways, for example, as 542517264 + 217503504 = 23292^2 + 14748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (760020761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57678 + ... + 69618.

Almost surely, 2^760020768 is an apocalyptic number.

760020768 is a gapful number since it is divisible by the number (78) 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 760020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232342748).

760020768 is an abundant number, since it is smaller than the sum of its proper divisors (1704664728).

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

760020768 is a wasteful number, since it uses less digits than its factorization.

760020768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11987 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 760020768 is about 27568.4741688763. The cubic root of 760020768 is about 912.5888394896.

The spelling of 760020768 in words is "seven hundred sixty million, twenty thousand, seven hundred sixty-eight".