76476840 has 192 divisors, whose sum is σ = 264297600. Its totient is φ = 17656320.

The previous prime is 76476821. The next prime is 76476853. The reversal of 76476840 is 4867467.

It is a junction number, because it is equal to n+sod(n) for n = 76476792 and 76476801.

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 47 ways as a sum of consecutive naturals, for example, 333846 + ... + 334074.

It is an arithmetic number, because the mean of its divisors is an integer number (1376550).

Almost surely, 2^76476840 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 76476840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132148800).

76476840 is an abundant number, since it is smaller than the sum of its proper divisors (187820760).

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

76476840 is a wasteful number, since it uses less digits than its factorization.

76476840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 76476840 is about 8745.1037729692. The cubic root of 76476840 is about 424.4663937513.

The spelling of 76476840 in words is "seventy-six million, four hundred seventy-six thousand, eight hundred forty".