760553349120 has 280 divisors, whose sum is σ = 2726570067804. Its totient is φ = 202813341696.

The previous prime is 760553349113. The next prime is 760553349131. The reversal of 760553349120 is 21943355067.

760553349120 is a `hidden beast` number, since 7 + 6 + 0 + 5 + 533 + 4 + 91 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 745501003776 + 15052345344 = 863424^2 + 122688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3203142 + ... + 3432378.

Almost surely, 2^760553349120 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 760553349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363285033902).

760553349120 is an abundant number, since it is smaller than the sum of its proper divisors (1966016718684).

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

760553349120 is an equidigital number, since it uses as much as digits as its factorization.

760553349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229280 (or 229247 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 760553349120 in words is "seven hundred sixty billion, five hundred fifty-three million, three hundred forty-nine thousand, one hundred twenty".