76442000 has 80 divisors (see below), whose sum is σ = 190016112. Its totient is φ = 29721600.

The previous prime is 76441987. The next prime is 76442029. The reversal of 76442000 is 24467.

It can be written as a sum of positive squares in 8 ways, for example, as 473344 + 75968656 = 688^2 + 8716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73484 + ... + 74516.

Almost surely, 2^76442000 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 76442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95008056).

76442000 is an abundant number, since it is smaller than the sum of its proper divisors (113574112).

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

76442000 is a wasteful number, since it uses less digits than its factorization.

76442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 76442000 is about 8743.1115742623. Note that the first 3 decimals coincide. The cubic root of 76442000 is about 424.4019269341.

Adding to 76442000 its reverse (24467), we get a palindrome (76466467).

The spelling of 76442000 in words is "seventy-six million, four hundred forty-two thousand".