761361200 has 60 divisors (see below), whose sum is σ = 1856536680. Its totient is φ = 299988480.

The previous prime is 761361149. The next prime is 761361229. The reversal of 761361200 is 2163167.

It is a self number, because there is not a number n which added to its sum of digits gives 761361200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12596 + ... + 41004.

It is an arithmetic number, because the mean of its divisors is an integer number (30942278).

Almost surely, 2^761361200 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 761361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928268340).

761361200 is an abundant number, since it is smaller than the sum of its proper divisors (1095175480).

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

761361200 is a wasteful number, since it uses less digits than its factorization.

761361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28494 (or 28483 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 761361200 is about 27592.7744165026. The cubic root of 761361200 is about 913.1250287145.

The spelling of 761361200 in words is "seven hundred sixty-one million, three hundred sixty-one thousand, two hundred".