76443444000 has 1728 divisors, whose sum is σ = 358883965440. Its totient is φ = 15054336000.

The previous prime is 76443443981. The next prime is 76443444001. The reversal of 76443444000 is 44434467.

76443444000 is a `hidden beast` number, since 7 + 644 + 3 + 4 + 4 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×76443444000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76443444001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 701315946 + ... + 701316054.

It is an arithmetic number, because the mean of its divisors is an integer number (207687480).

Almost surely, 2^76443444000 is an apocalyptic number.

76443444000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76443444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179441982720).

76443444000 is an abundant number, since it is smaller than the sum of its proper divisors (282440521440).

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

76443444000 is a wasteful number, since it uses less digits than its factorization.

76443444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 76443444000 its reverse (44434467), we get a palindrome (76487878467).

The spelling of 76443444000 in words is "seventy-six billion, four hundred forty-three million, four hundred forty-four thousand".