75479400 has 144 divisors (see below), whose sum is σ = 266947200. Its totient is φ = 19059840.

The previous prime is 75479351. The next prime is 75479413. The reversal of 75479400 is 497457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33097 + ... + 35303.

It is an arithmetic number, because the mean of its divisors is an integer number (1853800).

Almost surely, 2^75479400 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 75479400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133473600).

75479400 is an abundant number, since it is smaller than the sum of its proper divisors (191467800).

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

75479400 is a wasteful number, since it uses less digits than its factorization.

75479400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75479400 is about 8687.8881208266. Note that the first 3 decimals coincide. The cubic root of 75479400 is about 422.6129618707.

The spelling of 75479400 in words is "seventy-five million, four hundred seventy-nine thousand, four hundred".