763671216 has 160 divisors (see below), whose sum is σ = 2470699008. Its totient is φ = 197464320.

The previous prime is 763671191. The next prime is 763671257. The reversal of 763671216 is 612176367.

It is a super-2 number, since 2×763671216² = 1166387452293837312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1356151 + ... + 1356713.

Almost surely, 2^763671216 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 763671216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235349504).

763671216 is an abundant number, since it is smaller than the sum of its proper divisors (1707027792).

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

763671216 is a wasteful number, since it uses less digits than its factorization.

763671216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 953 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 763671216 is about 27634.6017883378. The cubic root of 763671216 is about 914.0475885250.

The spelling of 763671216 in words is "seven hundred sixty-three million, six hundred seventy-one thousand, two hundred sixteen".