75001080 has 128 divisors (see below), whose sum is σ = 280558080. Its totient is φ = 15582720.

The previous prime is 75001067. The next prime is 75001097. The reversal of 75001080 is 8010057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5182 + ... + 13298.

It is an arithmetic number, because the mean of its divisors is an integer number (2191860).

Almost surely, 2^75001080 is an apocalyptic number.

75001080 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 75001080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140279040).

75001080 is an abundant number, since it is smaller than the sum of its proper divisors (205557000).

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

75001080 is a wasteful number, since it uses less digits than its factorization.

75001080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 75001080 is about 8660.3163914490. The cubic root of 75001080 is about 421.7183568796.

The spelling of 75001080 in words is "seventy-five million, one thousand, eighty".