753480 has 192 divisors, whose sum is σ = 3144960. Its totient is φ = 152064.

The previous prime is 753463. The next prime is 753497. The reversal of 753480 is 84357.

It is an interprime number because it is at equal distance from previous prime (753463) and next prime (753497).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×753480² = 1135464220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

753480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32749 + ... + 32771.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2⁷⁵³⁴⁸⁰ is an apocalyptic number.

753480 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 753480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

753480 is an abundant number, since it is smaller than the sum of its proper divisors (2391480).

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

753480 is a wasteful number, since it uses less digits than its factorization.

753480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 53 counting only the distinct ones).

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

The square root of 753480 is about 868.0322574651. The cubic root of 753480 is about 90.9963368489.

The spelling of 753480 in words is "seven hundred fifty-three thousand, four hundred eighty".