76208000 has 128 divisors (see below), whose sum is σ = 207174240. Its totient is φ = 27648000.

The previous prime is 76207981. The next prime is 76208017. The reversal of 76208000 is 80267.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175784 + ... + 176216.

Almost surely, 2^76208000 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 76208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103587120).

76208000 is an abundant number, since it is smaller than the sum of its proper divisors (130966240).

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

76208000 is a wasteful number, since it uses less digits than its factorization.

76208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 76208000 is about 8729.7193540228. The cubic root of 76208000 is about 423.9684324427.

Adding to 76208000 its reverse (80267), we get a palindrome (76288267).

The spelling of 76208000 in words is "seventy-six million, two hundred eight thousand".