753480000 has 840 divisors, whose sum is σ = 3465990528. Its totient is φ = 152064000.

The previous prime is 753479971. The next prime is 753480047. The reversal of 753480000 is 84357.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×753480000² = 1135464220800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32759989 + ... + 32760011.

Almost surely, 2^753480000 is an apocalyptic number.

753480000 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 753480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732995264).

753480000 is an abundant number, since it is smaller than the sum of its proper divisors (2712510528).

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

753480000 is a wasteful number, since it uses less digits than its factorization.

753480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 753480000 is about 27449.5901608749. The cubic root of 753480000 is about 909.9633684888.

The spelling of 753480000 in words is "seven hundred fifty-three million, four hundred eighty thousand".