75450900 has 288 divisors, whose sum is σ = 275537920. Its totient is φ = 15552000.

The previous prime is 75450889. The next prime is 75450917. The reversal of 75450900 is 905457.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1236870 + ... + 1236930.

Almost surely, 2^75450900 is an apocalyptic number.

75450900 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 75450900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137768960).

75450900 is an abundant number, since it is smaller than the sum of its proper divisors (200087020).

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

75450900 is a wasteful number, since it uses less digits than its factorization.

75450900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 75450900 is about 8686.2477514747. The cubic root of 75450900 is about 422.5597641961.

The spelling of 75450900 in words is "seventy-five million, four hundred fifty thousand, nine hundred".