76818240 has 224 divisors, whose sum is σ = 287487360. Its totient is φ = 19243008.

The previous prime is 76818233. The next prime is 76818251. The reversal of 76818240 is 4281867.

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 = 76818195 and 76818204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146619 + ... + 147141.

Almost surely, 2^76818240 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 76818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143743680).

76818240 is an abundant number, since it is smaller than the sum of its proper divisors (210669120).

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

76818240 is a wasteful number, since it uses less digits than its factorization.

76818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 76818240 is about 8764.6015311593. The cubic root of 76818240 is about 425.0970758641.

The spelling of 76818240 in words is "seventy-six million, eight hundred eighteen thousand, two hundred forty".