761861440 has 56 divisors (see below), whose sum is σ = 1826312832. Its totient is φ = 302707200.

The previous prime is 761861431. The next prime is 761861447. The reversal of 761861440 is 44168167.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 761861440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761861447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40437 + ... + 56203.

Almost surely, 2^761861440 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 761861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913156416).

761861440 is an abundant number, since it is smaller than the sum of its proper divisors (1064451392).

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

761861440 is a wasteful number, since it uses less digits than its factorization.

761861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15935 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 761861440 is about 27601.8376199847. The cubic root of 761861440 is about 913.3249695838.

The spelling of 761861440 in words is "seven hundred sixty-one million, eight hundred sixty-one thousand, four hundred forty".