76444435080 has 384 divisors, whose sum is σ = 288201513600. Its totient is φ = 17411272704.

The previous prime is 76444435079. The next prime is 76444435103. The reversal of 76444435080 is 8053444467.

76444435080 is a `hidden beast` number, since 7 + 64 + 44 + 43 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3813564 + ... + 3833556.

It is an arithmetic number, because the mean of its divisors is an integer number (750524775).

Almost surely, 2^76444435080 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 76444435080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144100756800).

76444435080 is an abundant number, since it is smaller than the sum of its proper divisors (211757078520).

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

76444435080 is a wasteful number, since it uses less digits than its factorization.

76444435080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20085 (or 20078 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 76444435080 in words is "seventy-six billion, four hundred forty-four million, four hundred thirty-five thousand, eighty".