766316900 has 72 divisors (see below), whose sum is σ = 1727389440. Its totient is φ = 294768000.

The previous prime is 766316897. The next prime is 766316917. The reversal of 766316900 is 9613667.

It is a super-2 number, since 2×766316900² = 1174483182451220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554210 + ... + 555590.

It is an arithmetic number, because the mean of its divisors is an integer number (23991520).

Almost surely, 2^766316900 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 766316900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863694720).

766316900 is an abundant number, since it is smaller than the sum of its proper divisors (961072540).

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

766316900 is a wasteful number, since it uses less digits than its factorization.

766316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 766316900 is about 27682.4294454081. The cubic root of 766316900 is about 915.1019226147.

The spelling of 766316900 in words is "seven hundred sixty-six million, three hundred sixteen thousand, nine hundred".