76441440 has 96 divisors (see below), whose sum is σ = 244290816. Its totient is φ = 20088320.

The previous prime is 76441429. The next prime is 76441441. The reversal of 76441440 is 4414467.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76441398 and 76441407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76441441) 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, 32959 + ... + 35201.

It is an arithmetic number, because the mean of its divisors is an integer number (2544696).

Almost surely, 2^76441440 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 76441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122145408).

76441440 is an abundant number, since it is smaller than the sum of its proper divisors (167849376).

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

76441440 is a wasteful number, since it uses less digits than its factorization.

76441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 76441440 is about 8743.0795489919. The cubic root of 76441440 is about 424.4008905681.

The spelling of 76441440 in words is "seventy-six million, four hundred forty-one thousand, four hundred forty".