764215200 has 432 divisors, whose sum is σ = 3144173760. Its totient is φ = 171048960.

The previous prime is 764215171. The next prime is 764215201. The reversal of 764215200 is 2512467.

764215200 is a `hidden beast` number, since 7 + 642 + 15 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×764215200² = 1168049743822080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (764215201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2973472 + ... + 2973728.

It is an arithmetic number, because the mean of its divisors is an integer number (7278180).

Almost surely, 2^764215200 is an apocalyptic number.

764215200 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 764215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572086880).

764215200 is an abundant number, since it is smaller than the sum of its proper divisors (2379958560).

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

764215200 is a wasteful number, since it uses less digits than its factorization.

764215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 764215200 is about 27644.4424794569. The cubic root of 764215200 is about 914.2645707536.

Adding to 764215200 its reverse (2512467), we get a palindrome (766727667).

The spelling of 764215200 in words is "seven hundred sixty-four million, two hundred fifteen thousand, two hundred".