75420880 has 120 divisors (see below), whose sum is σ = 194407200. Its totient is φ = 27127296.

The previous prime is 75420809. The next prime is 75420881. The reversal of 75420880 is 8802457.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75420881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278291 + ... + 1278349.

It is an arithmetic number, because the mean of its divisors is an integer number (1620060).

Almost surely, 2^75420880 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 75420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97203600).

75420880 is an abundant number, since it is smaller than the sum of its proper divisors (118986320).

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

75420880 is a wasteful number, since it uses less digits than its factorization.

75420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 75420880 is about 8684.5195606896. The cubic root of 75420880 is about 422.5037148233.

The spelling of 75420880 in words is "seventy-five million, four hundred twenty thousand, eight hundred eighty".