76493440 has 64 divisors (see below), whose sum is σ = 186831360. Its totient is φ = 29934592.

The previous prime is 76493419. The next prime is 76493447. The reversal of 76493440 is 4439467.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 76493440.

It is not an unprimeable number, because it can be changed into a prime (76493447) 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, 28809 + ... + 31351.

It is an arithmetic number, because the mean of its divisors is an integer number (2919240).

Almost surely, 2^76493440 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 76493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93415680).

76493440 is an abundant number, since it is smaller than the sum of its proper divisors (110337920).

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

76493440 is a wasteful number, since it uses less digits than its factorization.

76493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 76493440 is about 8746.0528239887. The cubic root of 76493440 is about 424.4971029717.

The spelling of 76493440 in words is "seventy-six million, four hundred ninety-three thousand, four hundred forty".