763289280 has 672 divisors, whose sum is σ = 3161995200. Its totient is φ = 167215104.

The previous prime is 763289269. The next prime is 763289287. The reversal of 763289280 is 82982367.

763289280 is a `hidden beast` number, since 7 + 632 + 8 + 9 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×763289280² = 1165221049925836800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (763289287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20629422 + ... + 20629458.

It is an arithmetic number, because the mean of its divisors is an integer number (4705350).

Almost surely, 2^763289280 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 763289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580997600).

763289280 is an abundant number, since it is smaller than the sum of its proper divisors (2398705920).

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

763289280 is a wasteful number, since it uses less digits than its factorization.

763289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 763289280 is about 27627.6904572206. The cubic root of 763289280 is about 913.8951817961.

The spelling of 763289280 in words is "seven hundred sixty-three million, two hundred eighty-nine thousand, two hundred eighty".