76217410000 has 100 divisors (see below), whose sum is σ = 189518187892. Its totient is φ = 29662848000.

The previous prime is 76217409997. The next prime is 76217410007. The reversal of 76217410000 is 1471267.

It can be written as a sum of positive squares in 10 ways, for example, as 18207724096 + 58009685904 = 134936^2 + 240852^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76217410007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 267004 + ... + 472996.

Almost surely, 2^76217410000 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 76217410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94759093946).

76217410000 is an abundant number, since it is smaller than the sum of its proper divisors (113300777892).

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

76217410000 is a wasteful number, since it uses less digits than its factorization.

76217410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206058 (or 206037 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

Adding to 76217410000 its reverse (1471267), we get a palindrome (76218881267).

The spelling of 76217410000 in words is "seventy-six billion, two hundred seventeen million, four hundred ten thousand".