75413700 has 288 divisors, whose sum is σ = 269982720. Its totient is φ = 17971200.

The previous prime is 75413699. The next prime is 75413761. The reversal of 75413700 is 731457.

It is a super-2 number, since 2×75413700² = 11374452295380000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1422874 + ... + 1422926.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^75413700 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 75413700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

75413700 is an abundant number, since it is smaller than the sum of its proper divisors (194569020).

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

75413700 is a wasteful number, since it uses less digits than its factorization.

75413700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 75413700 is about 8684.1061716218. The cubic root of 75413700 is about 422.4903070731.

The spelling of 75413700 in words is "seventy-five million, four hundred thirteen thousand, seven hundred".