761242944 has 336 divisors, whose sum is σ = 2629050368. Its totient is φ = 190080000.

The previous prime is 761242939. The next prime is 761242969. The reversal of 761242944 is 449242167.

761242944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5041269 + ... + 5041419.

Almost surely, 2^761242944 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 761242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314525184).

761242944 is an abundant number, since it is smaller than the sum of its proper divisors (1867807424).

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

761242944 is a wasteful number, since it uses less digits than its factorization.

761242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 761242944 is about 27590.6314534481. The cubic root of 761242944 is about 913.0777501891.

The spelling of 761242944 in words is "seven hundred sixty-one million, two hundred forty-two thousand, nine hundred forty-four".