766704720 has 160 divisors (see below), whose sum is σ = 2514124800. Its totient is φ = 192748032.

The previous prime is 766704703. The next prime is 766704721. The reversal of 766704720 is 27407667.

It is a happy number.

It is a super-2 number, since 2×766704720² = 1175672255340556800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766704721) 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, 1746261 + ... + 1746699.

It is an arithmetic number, because the mean of its divisors is an integer number (15713280).

Almost surely, 2^766704720 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 766704720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257062400).

766704720 is an abundant number, since it is smaller than the sum of its proper divisors (1747420080).

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

766704720 is a wasteful number, since it uses less digits than its factorization.

766704720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 766704720 is about 27689.4333636498. The cubic root of 766704720 is about 915.2562691066.

The spelling of 766704720 in words is "seven hundred sixty-six million, seven hundred four thousand, seven hundred twenty".