764866800 has 420 divisors, whose sum is σ = 2865417544. Its totient is φ = 195955200.

The previous prime is 764866789. The next prime is 764866807. The reversal of 764866800 is 8668467.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764866807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12538770 + ... + 12538830.

Almost surely, 2^764866800 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 764866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432708772).

764866800 is an abundant number, since it is smaller than the sum of its proper divisors (2100550744).

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

764866800 is a wasteful number, since it uses less digits than its factorization.

764866800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 764866800 is about 27656.2253389721. The cubic root of 764866800 is about 914.5243429394.

The spelling of 764866800 in words is "seven hundred sixty-four million, eight hundred sixty-six thousand, eight hundred".