75378800 has 60 divisors (see below), whose sum is σ = 206976336. Its totient is φ = 25843200.

The previous prime is 75378791. The next prime is 75378803. The reversal of 75378800 is 887357.

It is a super-3 number, since 3×75378800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75378803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10661 + ... + 16260.

Almost surely, 2^75378800 is an apocalyptic number.

75378800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75378800 is an abundant number, since it is smaller than the sum of its proper divisors (131597536).

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

75378800 is a wasteful number, since it uses less digits than its factorization.

75378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26946 (or 26935 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 75378800 is about 8682.0965210023. The cubic root of 75378800 is about 422.4251235726.

The spelling of 75378800 in words is "seventy-five million, three hundred seventy-eight thousand, eight hundred".