766720512 has 160 divisors (see below), whose sum is σ = 2332440000. Its totient is φ = 248500224.

The previous prime is 766720511. The next prime is 766720561. The reversal of 766720512 is 215027667.

766720512 is a `hidden beast` number, since 76 + 6 + 72 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (766720511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510739 + ... + 512237.

It is an arithmetic number, because the mean of its divisors is an integer number (14577750).

Almost surely, 2^766720512 is an apocalyptic number.

766720512 is a gapful number since it is divisible by the number (72) 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 766720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166220000).

766720512 is an abundant number, since it is smaller than the sum of its proper divisors (1565719488).

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

766720512 is a wasteful number, since it uses less digits than its factorization.

766720512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 766720512 is about 27689.7185251133. The cubic root of 766720512 is about 915.2625529807.

The spelling of 766720512 in words is "seven hundred sixty-six million, seven hundred twenty thousand, five hundred twelve".