761359872 has 240 divisors, whose sum is σ = 2516088960. Its totient is φ = 200318976.

The previous prime is 761359867. The next prime is 761359883. The reversal of 761359872 is 278953167.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816879 + ... + 1817297.

It is an arithmetic number, because the mean of its divisors is an integer number (10483704).

Almost surely, 2^761359872 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 761359872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258044480).

761359872 is an abundant number, since it is smaller than the sum of its proper divisors (1754729088).

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

761359872 is a wasteful number, since it uses less digits than its factorization.

761359872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 444 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 761359872 is about 27592.7503522211. The cubic root of 761359872 is about 913.1244978098.

The spelling of 761359872 in words is "seven hundred sixty-one million, three hundred fifty-nine thousand, eight hundred seventy-two".