76088320 has 176 divisors, whose sum is σ = 228739968. Its totient is φ = 23592960.

The previous prime is 76088273. The next prime is 76088321. The reversal of 76088320 is 2388067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (76088321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394144 + ... + 394336.

Almost surely, 2^76088320 is an apocalyptic number.

76088320 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 76088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114369984).

76088320 is an abundant number, since it is smaller than the sum of its proper divisors (152651648).

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

76088320 is a wasteful number, since it uses less digits than its factorization.

76088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 76088320 is about 8722.8619156788. The cubic root of 76088320 is about 423.7463773355.

The spelling of 76088320 in words is "seventy-six million, eighty-eight thousand, three hundred twenty".