75007920 has 160 divisors (see below), whose sum is σ = 259358400. Its totient is φ = 17805312.

The previous prime is 75007903. The next prime is 75007921. The reversal of 75007920 is 2970057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (75007921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90066 + ... + 90894.

It is an arithmetic number, because the mean of its divisors is an integer number (1620990).

Almost surely, 2^75007920 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 75007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129679200).

75007920 is an abundant number, since it is smaller than the sum of its proper divisors (184350480).

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

75007920 is a wasteful number, since it uses less digits than its factorization.

75007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 75007920 is about 8660.7112871865. The cubic root of 75007920 is about 421.7311765433.

Adding to 75007920 its reverse (2970057), we get a palindrome (77977977).

The spelling of 75007920 in words is "seventy-five million, seven thousand, nine hundred twenty".