753876480 has 320 divisors, whose sum is σ = 2836247040. Its totient is φ = 167215104.

The previous prime is 753876457. The next prime is 753876481. The reversal of 753876480 is 84678357.

753876480 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 (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753876481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988931 + ... + 1989309.

It is an arithmetic number, because the mean of its divisors is an integer number (8863272).

Almost surely, 2^753876480 is an apocalyptic number.

753876480 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 753876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418123520).

753876480 is an abundant number, since it is smaller than the sum of its proper divisors (2082370560).

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

753876480 is a wasteful number, since it uses less digits than its factorization.

753876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 753876480 is about 27456.8111768282. The cubic root of 753876480 is about 910.1229476034.

The spelling of 753876480 in words is "seven hundred fifty-three million, eight hundred seventy-six thousand, four hundred eighty".