764007200 has 144 divisors (see below), whose sum is σ = 2154799584. Its totient is φ = 261427200.

The previous prime is 764007199. The next prime is 764007241. The reversal of 764007200 is 2700467.

It is a self number, because there is not a number n which added to its sum of digits gives 764007200.

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, 147047 + ... + 152153.

It is an arithmetic number, because the mean of its divisors is an integer number (14963886).

Almost surely, 2^764007200 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 764007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077399792).

764007200 is an abundant number, since it is smaller than the sum of its proper divisors (1390792384).

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

764007200 is a wasteful number, since it uses less digits than its factorization.

764007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 764007200 is about 27640.6801652926. The cubic root of 764007200 is about 914.1816166825.

Adding to 764007200 its reverse (2700467), we get a palindrome (766707667).

The spelling of 764007200 in words is "seven hundred sixty-four million, seven thousand, two hundred".