75401280 has 140 divisors (see below), whose sum is σ = 268307820. Its totient is φ = 20100096.

The previous prime is 75401279. The next prime is 75401281. The reversal of 75401280 is 8210457.

It is an interprime number because it is at equal distance from previous prime (75401279) and next prime (75401281).

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 27625536 = 6912^2 + 5256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (75401281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24466 + ... + 27374.

Almost surely, 2^75401280 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 75401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134153910).

75401280 is an abundant number, since it is smaller than the sum of its proper divisors (192906540).

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

75401280 is a wasteful number, since it uses less digits than its factorization.

75401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 75401280 is about 8683.3910426745. The cubic root of 75401280 is about 422.4671122703.

The spelling of 75401280 in words is "seventy-five million, four hundred one thousand, two hundred eighty".