76430844 has 192 divisors, whose sum is σ = 253209600. Its totient is φ = 19408896.

The previous prime is 76430821. The next prime is 76430867. The reversal of 76430844 is 44803467.

76430844 is a `hidden beast` number, since 7 + 643 + 0 + 8 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (76430821) and next prime (76430867).

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 = 76430799 and 76430808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244032 + ... + 244344.

It is an arithmetic number, because the mean of its divisors is an integer number (1318800).

Almost surely, 2^76430844 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 76430844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126604800).

76430844 is an abundant number, since it is smaller than the sum of its proper divisors (176778756).

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

76430844 is a wasteful number, since it uses less digits than its factorization.

76430844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

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

The square root of 76430844 is about 8742.4735630141. The cubic root of 76430844 is about 424.3812800897.

The spelling of 76430844 in words is "seventy-six million, four hundred thirty thousand, eight hundred forty-four".