763284096 has 96 divisors (see below), whose sum is σ = 2224497600. Its totient is φ = 251177472.

The previous prime is 763284091. The next prime is 763284113. The reversal of 763284096 is 690482367.

763284096 is a `hidden beast` number, since 7 + 632 + 8 + 4 + 0 + 9 + 6 = 666.

763284096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×763284096² = 1165205222413074432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (763284091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86815 + ... + 95201.

It is an arithmetic number, because the mean of its divisors is an integer number (23171850).

Almost surely, 2^763284096 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 763284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112248800).

763284096 is an abundant number, since it is smaller than the sum of its proper divisors (1461213504).

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

763284096 is a wasteful number, since it uses less digits than its factorization.

763284096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 763284096 is about 27627.5966381443. The cubic root of 763284096 is about 913.8931128368.

The spelling of 763284096 in words is "seven hundred sixty-three million, two hundred eighty-four thousand, ninety-six".