763134372 has 360 divisors, whose sum is σ = 2708177472. Its totient is φ = 181958400.

The previous prime is 763134367. The next prime is 763134401. The reversal of 763134372 is 273431367.

It is a super-3 number, since 3×763134372³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4216122 + ... + 4216302.

Almost surely, 2^763134372 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 763134372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354088736).

763134372 is an abundant number, since it is smaller than the sum of its proper divisors (1945043100).

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

763134372 is a wasteful number, since it uses less digits than its factorization.

763134372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 763134372 is about 27624.8868232976. The cubic root of 763134372 is about 913.8333532266.

The spelling of 763134372 in words is "seven hundred sixty-three million, one hundred thirty-four thousand, three hundred seventy-two".