752640 has 132 divisors (see below), whose sum is σ = 2800296. Its totient is φ = 172032.

The previous prime is 752639. The next prime is 752651. The reversal of 752640 is 46257.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 752640.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 752640.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107517 + ... + 107523.

2⁷⁵²⁶⁴⁰ is an apocalyptic number.

752640 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 752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400148).

752640 is an abundant number, since it is smaller than the sum of its proper divisors (2047656).

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

752640 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 752640 = (204765)₁₃.

752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 752640 is about 867.5482695505. The cubic root of 752640 is about 90.9625092112.

Adding to 752640 its reverse (46257), we get a palindrome (798897).

The spelling of 752640 in words is "seven hundred fifty-two thousand, six hundred forty".