75675600 has 720 divisors, whose sum is σ = 368101440. Its totient is φ = 14515200.

The previous prime is 75675581. The next prime is 75675623. The reversal of 75675600 is 657657.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5821194 + ... + 5821206.

It is an arithmetic number, because the mean of its divisors is an integer number (511252).

Almost surely, 2^75675600 is an apocalyptic number.

75675600 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 75675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

75675600 is an abundant number, since it is smaller than the sum of its proper divisors (292425840).

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

75675600 is a wasteful number, since it uses less digits than its factorization.

75675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 75675600 is about 8699.1723744274. The cubic root of 75675600 is about 422.9788229426.

It can be divided in two parts, 756 and 75600, that multiplied together give a square (57153600 = 7560²).

The spelling of 75675600 in words is "seventy-five million, six hundred seventy-five thousand, six hundred".