76807440 has 160 divisors (see below), whose sum is σ = 268435200. Its totient is φ = 20435328.

The previous prime is 76807421. The next prime is 76807459. The reversal of 76807440 is 4470867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76807421) and next prime (76807459).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76807395 and 76807404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174741 + ... + 175179.

It is an arithmetic number, because the mean of its divisors is an integer number (1677720).

Almost surely, 2^76807440 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 76807440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217600).

76807440 is an abundant number, since it is smaller than the sum of its proper divisors (191627760).

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

76807440 is an equidigital number, since it uses as much as digits as its factorization.

76807440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76807440 is about 8763.9853947847. The cubic root of 76807440 is about 425.0771532364.

The spelling of 76807440 in words is "seventy-six million, eight hundred seven thousand, four hundred forty".