75013400 has 96 divisors (see below), whose sum is σ = 217486080. Its totient is φ = 23376000.

The previous prime is 75013381. The next prime is 75013403. The reversal of 75013400 is 431057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75013403) 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, 12965 + ... + 17835.

It is an arithmetic number, because the mean of its divisors is an integer number (2265480).

Almost surely, 2^75013400 is an apocalyptic number.

75013400 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 75013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108743040).

75013400 is an abundant number, since it is smaller than the sum of its proper divisors (142472680).

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

75013400 is a wasteful number, since it uses less digits than its factorization.

75013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 75013400 is about 8661.0276526518. The cubic root of 75013400 is about 421.7414467057.

Adding to 75013400 its reverse (431057), we get a palindrome (75444457).

It can be divided in two parts, 7501 and 3400, that added together give a palindrome (10901).

The spelling of 75013400 in words is "seventy-five million, thirteen thousand, four hundred".