76441248 has 144 divisors (see below), whose sum is σ = 248078376. Its totient is φ = 22118400.

The previous prime is 76441219. The next prime is 76441271. The reversal of 76441248 is 84214467.

76441248 is a `hidden beast` number, since 7 + 644 + 1 + 2 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36144144 + 40297104 = 6012^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63048 + ... + 64248.

Almost surely, 2^76441248 is an apocalyptic number.

76441248 is a gapful number since it is divisible by the number (78) 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 76441248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124039188).

76441248 is an abundant number, since it is smaller than the sum of its proper divisors (171637128).

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

76441248 is a wasteful number, since it uses less digits than its factorization.

76441248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1236 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 76441248 is about 8743.0685688721. The cubic root of 76441248 is about 424.4005352415.

The spelling of 76441248 in words is "seventy-six million, four hundred forty-one thousand, two hundred forty-eight".