75564900 has 180 divisors, whose sum is σ = 258368880. Its totient is φ = 19051200.

The previous prime is 75564883. The next prime is 75564917. The reversal of 75564900 is 946557.

75564900 is a `hidden beast` number, since 7 + 5 + 5 + 649 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75564883) and next prime (75564917).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×75564900² = 11420108224020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153655 + ... + 154145.

Almost surely, 2^75564900 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 75564900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129184440).

75564900 is an abundant number, since it is smaller than the sum of its proper divisors (182803980).

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

75564900 is a wasteful number, since it uses less digits than its factorization.

75564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 75564900 is about 8692.8073716148. The cubic root of 75564900 is about 422.7724745913.

The spelling of 75564900 in words is "seventy-five million, five hundred sixty-four thousand, nine hundred".