761553320 has 64 divisors (see below), whose sum is σ = 1876659840. Its totient is φ = 275833600.

The previous prime is 761553319. The next prime is 761553323. The reversal of 761553320 is 23355167.

It is not an unprimeable number, because it can be changed into a prime (761553323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112430 + ... + 119010.

It is an arithmetic number, because the mean of its divisors is an integer number (29322810).

Almost surely, 2^761553320 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 761553320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938329920).

761553320 is an abundant number, since it is smaller than the sum of its proper divisors (1115106520).

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

761553320 is a wasteful number, since it uses less digits than its factorization.

761553320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 761553320 is about 27596.2555430986. The cubic root of 761553320 is about 913.2018274914.

The spelling of 761553320 in words is "seven hundred sixty-one million, five hundred fifty-three thousand, three hundred twenty".