76443840 has 336 divisors, whose sum is σ = 304312320. Its totient is φ = 17418240.

The previous prime is 76443779. The next prime is 76443853. The reversal of 76443840 is 4834467.

76443840 is a `hidden beast` number, since 7 + 644 + 3 + 8 + 4 + 0 = 666.

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 = 76443795 and 76443804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601857 + ... + 601983.

Almost surely, 2^76443840 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 76443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

76443840 is an abundant number, since it is smaller than the sum of its proper divisors (227868480).

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

76443840 is a wasteful number, since it uses less digits than its factorization.

76443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 76443840 is about 8743.2167993251. The cubic root of 76443840 is about 424.4053321009.

The spelling of 76443840 in words is "seventy-six million, four hundred forty-three thousand, eight hundred forty".