766345008 has 160 divisors (see below), whose sum is σ = 2351849472. Its totient is φ = 211968000.

The previous prime is 766345007. The next prime is 766345033. The reversal of 766345008 is 800543667.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (766345001) 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, 665233 + ... + 666383.

Almost surely, 2^766345008 is an apocalyptic number.

766345008 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 766345008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175924736).

766345008 is an abundant number, since it is smaller than the sum of its proper divisors (1585504464).

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

766345008 is a wasteful number, since it uses less digits than its factorization.

766345008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 766345008 is about 27682.9371274076. The cubic root of 766345008 is about 915.1131109235.

The spelling of 766345008 in words is "seven hundred sixty-six million, three hundred forty-five thousand, eight".