76588380 has 144 divisors (see below), whose sum is σ = 259144704. Its totient is φ = 18149760.

The previous prime is 76588361. The next prime is 76588381. The reversal of 76588380 is 8388567.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76588381) 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 47 ways as a sum of consecutive naturals, for example, 92649 + ... + 93471.

It is an arithmetic number, because the mean of its divisors is an integer number (1799616).

Almost surely, 2^76588380 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 76588380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129572352).

76588380 is an abundant number, since it is smaller than the sum of its proper divisors (182556324).

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

76588380 is a wasteful number, since it uses less digits than its factorization.

76588380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 76588380 is about 8751.4787321915. The cubic root of 76588380 is about 424.6726521992.

The spelling of 76588380 in words is "seventy-six million, five hundred eighty-eight thousand, three hundred eighty".