766998960 has 480 divisors, whose sum is σ = 3099176640. Its totient is φ = 155344896.

The previous prime is 766998923. The next prime is 766998961. The reversal of 766998960 is 69899667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 766998894 and 766998903.

It is not an unprimeable number, because it can be changed into a prime (766998961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4433434 + ... + 4433606.

It is an arithmetic number, because the mean of its divisors is an integer number (6456618).

Almost surely, 2^766998960 is an apocalyptic number.

766998960 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 766998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549588320).

766998960 is an abundant number, since it is smaller than the sum of its proper divisors (2332177680).

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

766998960 is a wasteful number, since it uses less digits than its factorization.

766998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The square root of 766998960 is about 27694.7460721343. The cubic root of 766998960 is about 915.3733374531.

The spelling of 766998960 in words is "seven hundred sixty-six million, nine hundred ninety-eight thousand, nine hundred sixty".