763216160 has 96 divisors (see below), whose sum is σ = 2102889600. Its totient is φ = 261655296.

The previous prime is 763216151. The next prime is 763216163. The reversal of 763216160 is 61612367.

It is a super-3 number, since 3×763216160³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (763216163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47927 + ... + 61833.

It is an arithmetic number, because the mean of its divisors is an integer number (21905100).

Almost surely, 2^763216160 is an apocalyptic number.

763216160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051444800).

763216160 is an abundant number, since it is smaller than the sum of its proper divisors (1339673440).

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

763216160 is a wasteful number, since it uses less digits than its factorization.

763216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13943 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 763216160 is about 27626.3671154931. The cubic root of 763216160 is about 913.8659983871.

The spelling of 763216160 in words is "seven hundred sixty-three million, two hundred sixteen thousand, one hundred sixty".