766668000 has 192 divisors, whose sum is σ = 2870719488. Its totient is φ = 175219200.

The previous prime is 766667999. The next prime is 766668013. The reversal of 766668000 is 866667.

766668000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 766668000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79437 + ... + 88563.

It is an arithmetic number, because the mean of its divisors is an integer number (14951664).

Almost surely, 2^766668000 is an apocalyptic number.

766668000 is a gapful number since it is divisible by the number (70) 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 766668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435359744).

766668000 is an abundant number, since it is smaller than the sum of its proper divisors (2104051488).

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

766668000 is a wasteful number, since it uses less digits than its factorization.

766668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 766668000 is about 27688.7702868871. The cubic root of 766668000 is about 915.2416573333.

It can be divided in two parts, 76666 and 8000, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 766668000 in words is "seven hundred sixty-six million, six hundred sixty-eight thousand".