766623312 has 160 divisors (see below), whose sum is σ = 2708437760. Its totient is φ = 202176000.

The previous prime is 766623311. The next prime is 766623329. The reversal of 766623312 is 213326667.

It is a super-2 number, since 2×766623312² = 1175422605003698688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766623311) 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, 29562 + ... + 49062.

It is an arithmetic number, because the mean of its divisors is an integer number (16927736).

Almost surely, 2^766623312 is an apocalyptic number.

766623312 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 766623312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354218880).

766623312 is an abundant number, since it is smaller than the sum of its proper divisors (1941814448).

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

766623312 is a wasteful number, since it uses less digits than its factorization.

766623312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19538 (or 19526 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 766623312 is about 27687.9633053787. The cubic root of 766623312 is about 915.2238742712.

Adding to 766623312 its reverse (213326667), we get a palindrome (979949979).

The spelling of 766623312 in words is "seven hundred sixty-six million, six hundred twenty-three thousand, three hundred twelve".