763860672 has 112 divisors (see below), whose sum is σ = 2259909120. Its totient is φ = 252999936.

The previous prime is 763860661. The next prime is 763860673. The reversal of 763860672 is 276068367.

763860672 is a `hidden beast` number, since 7 + 6 + 38 + 606 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (763860673) 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, 287253 + ... + 289899.

It is an arithmetic number, because the mean of its divisors is an integer number (20177760).

Almost surely, 2^763860672 is an apocalyptic number.

763860672 is a gapful number since it is divisible by the number (72) 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 763860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129954560).

763860672 is an abundant number, since it is smaller than the sum of its proper divisors (1496048448).

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

763860672 is a wasteful number, since it uses less digits than its factorization.

763860672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 763860672 is about 27638.0294521878. The cubic root of 763860672 is about 914.1231696903.

The spelling of 763860672 in words is "seven hundred sixty-three million, eight hundred sixty thousand, six hundred seventy-two".