76989440 has 88 divisors (see below), whose sum is σ = 201621312. Its totient is φ = 27975680.

The previous prime is 76989433. The next prime is 76989449. The reversal of 76989440 is 4498967.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (76989449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55637 + ... + 57003.

Almost surely, 2^76989440 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 76989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100810656).

76989440 is an abundant number, since it is smaller than the sum of its proper divisors (124631872).

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

76989440 is a wasteful number, since it uses less digits than its factorization.

76989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 76989440 is about 8774.3626549169. The cubic root of 76989440 is about 425.4126372984.

It can be divided in two parts, 769 and 89440, that added together give a palindrome (90209).

The spelling of 76989440 in words is "seventy-six million, nine hundred eighty-nine thousand, four hundred forty".