761948160 has 192 divisors, whose sum is σ = 2582798400. Its totient is φ = 191102976.

The previous prime is 761948147. The next prime is 761948171. The reversal of 761948160 is 61849167.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521511 + ... + 522969.

It is an arithmetic number, because the mean of its divisors is an integer number (13452075).

Almost surely, 2^761948160 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 761948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291399200).

761948160 is an abundant number, since it is smaller than the sum of its proper divisors (1820850240).

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

761948160 is a wasteful number, since it uses less digits than its factorization.

761948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 761948160 is about 27603.4084851853. The cubic root of 761948160 is about 913.3596217888.

The spelling of 761948160 in words is "seven hundred sixty-one million, nine hundred forty-eight thousand, one hundred sixty".