761254560 has 432 divisors, whose sum is σ = 3035141928. Its totient is φ = 173015040.

The previous prime is 761254541. The next prime is 761254561. The reversal of 761254560 is 65452167.

It is a happy number.

761254560 is a `hidden beast` number, since 76 + 1 + 25 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 761097744 + 156816 = 27588^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (761254561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2961952 + ... + 2962208.

Almost surely, 2^761254560 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 761254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517570964).

761254560 is an abundant number, since it is smaller than the sum of its proper divisors (2273887368).

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

761254560 is a wasteful number, since it uses less digits than its factorization.

761254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 761254560 is about 27590.8419588819. The cubic root of 761254560 is about 913.0823944608.

The spelling of 761254560 in words is "seven hundred sixty-one million, two hundred fifty-four thousand, five hundred sixty".