750480 has 80 divisors (see below), whose sum is σ = 2410560. Its totient is φ = 193024.

The previous prime is 750473. The next prime is 750487. The reversal of 750480 is 84057.

750480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (750473) and next prime (750487).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 750480.

It is not an unprimeable number, because it can be changed into a prime (750487) by changing a digit.

750480 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 15 ways as a sum of consecutive naturals, for example, 12691 + ... + 12749.

It is an arithmetic number, because the mean of its divisors is an integer number (30132).

2⁷⁵⁰⁴⁸⁰ 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 750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280).

750480 is an abundant number, since it is smaller than the sum of its proper divisors (1660080).

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

750480 is a wasteful number, since it uses less digits than its factorization.

750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 750480 is about 866.3024875873. The cubic root of 750480 is about 90.8754081278.

It can be divided in two parts, 750 and 480, that multiplied together give a square (360000 = 600²).

The spelling of 750480 in words is "seven hundred fifty thousand, four hundred eighty".