75340800 has 264 divisors, whose sum is σ = 279210800. Its totient is φ = 19906560.

The previous prime is 75340789. The next prime is 75340841. The reversal of 75340800 is 804357.

It is a super-2 number, since 2×75340800² = 11352472289280000, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691146 + ... + 691254.

Almost surely, 2^75340800 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 75340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139605400).

75340800 is an abundant number, since it is smaller than the sum of its proper divisors (203870000).

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

75340800 is a wasteful number, since it uses less digits than its factorization.

75340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75340800 is about 8679.9078336121. The cubic root of 75340800 is about 422.3541272498.

The spelling of 75340800 in words is "seventy-five million, three hundred forty thousand, eight hundred".