76006000 has 160 divisors (see below), whose sum is σ = 215879040. Its totient is φ = 25344000.

The previous prime is 76005973. The next prime is 76006009. The reversal of 76006000 is 60067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76006009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 853956 + ... + 854044.

It is an arithmetic number, because the mean of its divisors is an integer number (1349244).

Almost surely, 2^76006000 is an apocalyptic number.

76006000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

76006000 is an abundant number, since it is smaller than the sum of its proper divisors (139873040).

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

76006000 is a wasteful number, since it uses less digits than its factorization.

76006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 76006000 is about 8718.1420038905. The cubic root of 76006000 is about 423.5935050363.

Adding to 76006000 its reverse (60067), we get a palindrome (76066067).

The spelling of 76006000 in words is "seventy-six million, six thousand".