76332000 has 96 divisors (see below), whose sum is σ = 250102944. Its totient is φ = 20352000.

The previous prime is 76331971. The next prime is 76332043. The reversal of 76332000 is 23367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8820 + ... + 15180.

It is an arithmetic number, because the mean of its divisors is an integer number (2605239).

Almost surely, 2^76332000 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 76332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125051472).

76332000 is an abundant number, since it is smaller than the sum of its proper divisors (173770944).

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

76332000 is a wasteful number, since it uses less digits than its factorization.

76332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 76332000 is about 8736.8186429615. The cubic root of 76332000 is about 424.1982578223.

Adding to 76332000 its reverse (23367), we get a palindrome (76355367).

The spelling of 76332000 in words is "seventy-six million, three hundred thirty-two thousand".