76984440 has 128 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 18616320.

The previous prime is 76984433. The next prime is 76984441. The reversal of 76984440 is 4448967.

It is a super-2 number, since 2×76984440² = 11853208004227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76984392 and 76984401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76984441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94756 + ... + 95564.

Almost surely, 2^76984440 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 76984440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126554400).

76984440 is an abundant number, since it is smaller than the sum of its proper divisors (176124360).

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

76984440 is a wasteful number, since it uses less digits than its factorization.

76984440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 76984440 is about 8774.0777293115. The cubic root of 76984440 is about 425.4034277703.

The spelling of 76984440 in words is "seventy-six million, nine hundred eighty-four thousand, four hundred forty".