761610240 has 180 divisors, whose sum is σ = 2642724084. Its totient is φ = 202899456.

The previous prime is 761610229. The next prime is 761610287. The reversal of 761610240 is 42016167.

761610240 is a `hidden beast` number, since 7 + 6 + 1 + 610 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 548683776 + 212926464 = 23424^2 + 14592^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

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, 736764 + ... + 737796.

Almost surely, 2^761610240 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 761610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321362042).

761610240 is an abundant number, since it is smaller than the sum of its proper divisors (1881113844).

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

761610240 is a wasteful number, since it uses less digits than its factorization.

761610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 761610240 is about 27597.2868231643. The cubic root of 761610240 is about 913.2245784276.

The spelling of 761610240 in words is "seven hundred sixty-one million, six hundred ten thousand, two hundred forty".