754414720 has 128 divisors (see below), whose sum is σ = 1919427840. Its totient is φ = 282906624.

The previous prime is 754414699. The next prime is 754414807. The reversal of 754414720 is 27414457.

It is a happy number.

754414720 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 (128).

It is a super-3 number, since 3×754414720³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779677 + ... + 780643.

It is an arithmetic number, because the mean of its divisors is an integer number (14995530).

Almost surely, 2^754414720 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 754414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959713920).

754414720 is an abundant number, since it is smaller than the sum of its proper divisors (1165013120).

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

754414720 is a wasteful number, since it uses less digits than its factorization.

754414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 754414720 is about 27466.6110031798. The cubic root of 754414720 is about 910.3394941477.

The spelling of 754414720 in words is "seven hundred fifty-four million, four hundred fourteen thousand, seven hundred twenty".