75682252800 has 1728 divisors, whose sum is σ = 354877286400. Its totient is φ = 15527116800.

The previous prime is 75682252781. The next prime is 75682252801. The reversal of 75682252800 is 825228657.

75682252800 is a `hidden beast` number, since 7 + 568 + 2 + 2 + 5 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75682252801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 958003161 + ... + 958003239.

It is an arithmetic number, because the mean of its divisors is an integer number (205368800).

Almost surely, 2^75682252800 is an apocalyptic number.

75682252800 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 75682252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177438643200).

75682252800 is an abundant number, since it is smaller than the sum of its proper divisors (279195033600).

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

75682252800 is a wasteful number, since it uses less digits than its factorization.

75682252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 75682252800 in words is "seventy-five billion, six hundred eighty-two million, two hundred fifty-two thousand, eight hundred".