763125484800 has 864 divisors, whose sum is σ = 3208144665600. Its totient is φ = 155518894080.

The previous prime is 763125484763. The next prime is 763125484829. The reversal of 763125484800 is 8484521367.

It is a super-3 number, since 3×763125484800³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 763125484800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43402411 + ... + 43419989.

It is an arithmetic number, because the mean of its divisors is an integer number (3713130400).

Almost surely, 2^763125484800 is an apocalyptic number.

763125484800 is a gapful number since it is divisible by the number (70) 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 763125484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604072332800).

763125484800 is an abundant number, since it is smaller than the sum of its proper divisors (2445019180800).

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

763125484800 is a wasteful number, since it uses less digits than its factorization.

763125484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17651 (or 17632 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 763125484800 in words is "seven hundred sixty-three billion, one hundred twenty-five million, four hundred eighty-four thousand, eight hundred".