76021000 has 64 divisors (see below), whose sum is σ = 194088960. Its totient is φ = 27640000.

The previous prime is 76020953. The next prime is 76021009. The reversal of 76021000 is 12067.

It is not an unprimeable number, because it can be changed into a prime (76021009) by changing a digit.

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, 7545 + ... + 14455.

It is an arithmetic number, because the mean of its divisors is an integer number (3032640).

Almost surely, 2^76021000 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 76021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97044480).

76021000 is an abundant number, since it is smaller than the sum of its proper divisors (118067960).

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

76021000 is a wasteful number, since it uses less digits than its factorization.

76021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 76021000 is about 8719.0022364947. The cubic root of 76021000 is about 423.6213689972.

Adding to 76021000 its reverse (12067), we get a palindrome (76033067).

The spelling of 76021000 in words is "seventy-six million, twenty-one thousand".