766157472 has 72 divisors (see below), whose sum is σ = 2196020736. Its totient is φ = 253362816.

The previous prime is 766157443. The next prime is 766157527. The reversal of 766157472 is 274751667.

766157472 is a `hidden beast` number, since 7 + 6 + 6 + 1 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26103 + ... + 47049.

It is an arithmetic number, because the mean of its divisors is an integer number (30500288).

Almost surely, 2^766157472 is an apocalyptic number.

766157472 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 766157472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098010368).

766157472 is an abundant number, since it is smaller than the sum of its proper divisors (1429863264).

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

766157472 is a wasteful number, since it uses less digits than its factorization.

766157472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21090 (or 21079 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 766157472 is about 27679.5497073200. The cubic root of 766157472 is about 915.0384575792.

The spelling of 766157472 in words is "seven hundred sixty-six million, one hundred fifty-seven thousand, four hundred seventy-two".