76509440 has 72 divisors (see below), whose sum is σ = 209469120. Its totient is φ = 26228736.

The previous prime is 76509439. The next prime is 76509449. The reversal of 76509440 is 4490567.

It is a super-2 number, since 2×76509440² = 11707388818227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 76509440.

It is not an unprimeable number, because it can be changed into a prime (76509449) 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, 4691 + ... + 13229.

Almost surely, 2^76509440 is an apocalyptic number.

76509440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104734560).

76509440 is an abundant number, since it is smaller than the sum of its proper divisors (132959680).

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

76509440 is an equidigital number, since it uses as much as digits as its factorization.

76509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 76509440 is about 8746.9674745022. The cubic root of 76509440 is about 424.5266980156.

The spelling of 76509440 in words is "seventy-six million, five hundred nine thousand, four hundred forty".