768787260 has 96 divisors (see below), whose sum is σ = 2322395712. Its totient is φ = 189296640.

The previous prime is 768787249. The next prime is 768787267. The reversal of 768787260 is 62787867.

It is a super-2 number, since 2×768787260² = 1182067702276615200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768787267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46950 + ... + 61170.

It is an arithmetic number, because the mean of its divisors is an integer number (24191622).

Almost surely, 2^768787260 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 768787260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161197856).

768787260 is an abundant number, since it is smaller than the sum of its proper divisors (1553608452).

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

768787260 is a wasteful number, since it uses less digits than its factorization.

768787260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14303 (or 14301 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The square root of 768787260 is about 27727.0131820937. The cubic root of 768787260 is about 916.0841995915.

The spelling of 768787260 in words is "seven hundred sixty-eight million, seven hundred eighty-seven thousand, two hundred sixty".