766758960 has 400 divisors, whose sum is σ = 3007521792. Its totient is φ = 179366400.

The previous prime is 766758953. The next prime is 766758961. The reversal of 766758960 is 69857667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 766758897 and 766758906.

It is not an unprimeable number, because it can be changed into a prime (766758961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209507 + ... + 2209853.

Almost surely, 2^766758960 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 766758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503760896).

766758960 is an abundant number, since it is smaller than the sum of its proper divisors (2240762832).

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

766758960 is a wasteful number, since it uses less digits than its factorization.

766758960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 766758960 is about 27690.4127813220. The cubic root of 766758960 is about 915.2778516569.

The spelling of 766758960 in words is "seven hundred sixty-six million, seven hundred fifty-eight thousand, nine hundred sixty".