760228800 has 168 divisors, whose sum is σ = 2508089472. Its totient is φ = 201600000.

The previous prime is 760228793. The next prime is 760228801. The reversal of 760228800 is 8822067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760228801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204485 + ... + 1205115.

It is an arithmetic number, because the mean of its divisors is an integer number (14929104).

Almost surely, 2^760228800 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 760228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254044736).

760228800 is an abundant number, since it is smaller than the sum of its proper divisors (1747860672).

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

760228800 is a wasteful number, since it uses less digits than its factorization.

760228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 760228800 is about 27572.2469160567. The cubic root of 760228800 is about 912.6720961454.

The spelling of 760228800 in words is "seven hundred sixty million, two hundred twenty-eight thousand, eight hundred".