760368400 has 240 divisors, whose sum is σ = 2117275200. Its totient is φ = 259840000.

The previous prime is 760368383. The next prime is 760368419. The reversal of 760368400 is 4863067.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7528350 + ... + 7528450.

It is an arithmetic number, because the mean of its divisors is an integer number (8821980).

Almost surely, 2^760368400 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 760368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058637600).

760368400 is an abundant number, since it is smaller than the sum of its proper divisors (1356906800).

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

760368400 is a wasteful number, since it uses less digits than its factorization.

760368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 760368400 is about 27574.7783309313. The cubic root of 760368400 is about 912.7279570593.

The spelling of 760368400 in words is "seven hundred sixty million, three hundred sixty-eight thousand, four hundred".