76441288 has 64 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 28814400.

The previous prime is 76441283. The next prime is 76441301. The reversal of 76441288 is 88214467.

It is a super-2 number, since 2×76441288² = 11686541022197888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76441288.

It is not an unprimeable number, because it can be changed into a prime (76441283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17095 + ... + 21097.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^76441288 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 76441288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

76441288 is an abundant number, since it is smaller than the sum of its proper divisors (108063032).

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

76441288 is a wasteful number, since it uses less digits than its factorization.

76441288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4054 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 76441288 is about 8743.0708563982. The cubic root of 76441288 is about 424.4006092679.

It can be divided in two parts, 76441 and 288, that added together give a square (76729 = 277²).

The spelling of 76441288 in words is "seventy-six million, four hundred forty-one thousand, two hundred eighty-eight".