76891440 has 80 divisors (see below), whose sum is σ = 239243616. Its totient is φ = 20428800.

The previous prime is 76891433. The next prime is 76891453. The reversal of 76891440 is 4419867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100660 + ... + 101420.

Almost surely, 2^76891440 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 76891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119621808).

76891440 is an abundant number, since it is smaller than the sum of its proper divisors (162352176).

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

76891440 is a wasteful number, since it uses less digits than its factorization.

76891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 76891440 is about 8768.7764254769. The cubic root of 76891440 is about 425.2320578135.

The spelling of 76891440 in words is "seventy-six million, eight hundred ninety-one thousand, four hundred forty".