754821480 has 384 divisors, whose sum is σ = 2813045760. Its totient is φ = 161280000.

The previous prime is 754821479. The next prime is 754821491. The reversal of 754821480 is 84128457.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7473430 + ... + 7473530.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^754821480 is an apocalyptic number.

754821480 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 754821480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406522880).

754821480 is an abundant number, since it is smaller than the sum of its proper divisors (2058224280).

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

754821480 is a wasteful number, since it uses less digits than its factorization.

754821480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 754821480 is about 27474.0146320118. The cubic root of 754821480 is about 910.5030748913.

The spelling of 754821480 in words is "seven hundred fifty-four million, eight hundred twenty-one thousand, four hundred eighty".