763381223280 has 960 divisors, whose sum is σ = 3167013964800. Its totient is φ = 167513702400.

The previous prime is 763381223257. The next prime is 763381223309. The reversal of 763381223280 is 82322183367.

763381223280 is a `hidden beast` number, since 7 + 6 + 338 + 1 + 2 + 232 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154184805 + ... + 154189755.

It is an arithmetic number, because the mean of its divisors is an integer number (3298972880).

Almost surely, 2^763381223280 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 763381223280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583506982400).

763381223280 is an abundant number, since it is smaller than the sum of its proper divisors (2403632741520).

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

763381223280 is a wasteful number, since it uses less digits than its factorization.

763381223280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 763381223280 in words is "seven hundred sixty-three billion, three hundred eighty-one million, two hundred twenty-three thousand, two hundred eighty".