766064800 has 144 divisors (see below), whose sum is σ = 1992060000. Its totient is φ = 286848000.

The previous prime is 766064731. The next prime is 766064833. The reversal of 766064800 is 8460667.

It is a self number, because there is not a number n which added to its sum of digits gives 766064800.

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 23 ways as a sum of consecutive naturals, for example, 1534951 + ... + 1535449.

It is an arithmetic number, because the mean of its divisors is an integer number (13833750).

Almost surely, 2^766064800 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 766064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996030000).

766064800 is an abundant number, since it is smaller than the sum of its proper divisors (1225995200).

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

766064800 is a wasteful number, since it uses less digits than its factorization.

766064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 766064800 is about 27677.8756410242. The cubic root of 766064800 is about 915.0015626995.

It can be divided in two parts, 76606 and 4800, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 766064800 in words is "seven hundred sixty-six million, sixty-four thousand, eight hundred".