76227840 has 216 divisors, whose sum is σ = 284586120. Its totient is φ = 18726912.

The previous prime is 76227821. The next prime is 76227869. The reversal of 76227840 is 4872267.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 69755904 = 2544^2 + 8352^2 .

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 = 76227795 and 76227804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149506 + ... + 150014.

Almost surely, 2^76227840 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 76227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142293060).

76227840 is an abundant number, since it is smaller than the sum of its proper divisors (208358280).

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

76227840 is a wasteful number, since it uses less digits than its factorization.

76227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

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

The square root of 76227840 is about 8730.8556281730. The cubic root of 76227840 is about 424.0052212482.

The spelling of 76227840 in words is "seventy-six million, two hundred twenty-seven thousand, eight hundred forty".