76485600 has 144 divisors (see below), whose sum is σ = 276701040. Its totient is φ = 20390400.

The previous prime is 76485581. The next prime is 76485641. The reversal of 76485600 is 658467.

It is a happy number.

76485600 is a `hidden beast` number, since 7 + 6 + 48 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×76485600³ (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 19830 + ... + 23370.

It is an arithmetic number, because the mean of its divisors is an integer number (1921535).

Almost surely, 2^76485600 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 76485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138350520).

76485600 is an abundant number, since it is smaller than the sum of its proper divisors (200215440).

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

76485600 is a wasteful number, since it uses less digits than its factorization.

76485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 76485600 is about 8745.6046103171. The cubic root of 76485600 is about 424.4825998936.

The spelling of 76485600 in words is "seventy-six million, four hundred eighty-five thousand, six hundred".