76088000 has 56 divisors (see below), whose sum is σ = 188451744. Its totient is φ = 30432000.

The previous prime is 76087997. The next prime is 76088003. The reversal of 76088000 is 88067.

It is an interprime number because it is at equal distance from previous prime (76087997) and next prime (76088003).

It is not an unprimeable number, because it can be changed into a prime (76088003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3245 + ... + 12755.

Almost surely, 2^76088000 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 76088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94225872).

76088000 is an abundant number, since it is smaller than the sum of its proper divisors (112363744).

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

76088000 is an equidigital number, since it uses as much as digits as its factorization.

76088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 76088000 is about 8722.8435730557. The cubic root of 76088000 is about 423.7457832933.

The spelling of 76088000 in words is "seventy-six million, eighty-eight thousand".