76352121000 has 384 divisors, whose sum is σ = 262828800000. Its totient is φ = 19988812800.

The previous prime is 76352120993. The next prime is 76352121017. The reversal of 76352121000 is 12125367.

It is a happy number.

76352121000 is a `hidden beast` number, since 7 + 635 + 2 + 1 + 21 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159398761 + ... + 159399239.

It is an arithmetic number, because the mean of its divisors is an integer number (684450000).

Almost surely, 2^76352121000 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 76352121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131414400000).

76352121000 is an abundant number, since it is smaller than the sum of its proper divisors (186476679000).

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

76352121000 is a wasteful number, since it uses less digits than its factorization.

76352121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 76352121000 its reverse (12125367), we get a palindrome (76364246367).

The spelling of 76352121000 in words is "seventy-six billion, three hundred fifty-two million, one hundred twenty-one thousand".