77890590576 has 320 divisors, whose sum is σ = 239344680960. Its totient is φ = 24211249920.

The previous prime is 77890590539. The next prime is 77890590577. The reversal of 77890590576 is 67509509877.

77890590576 is a `hidden beast` number, since 7 + 7 + 8 + 9 + 0 + 59 + 0 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77890590577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42170485 + ... + 42172331.

It is an arithmetic number, because the mean of its divisors is an integer number (747952128).

Almost surely, 2^77890590576 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 77890590576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119672340480).

77890590576 is an abundant number, since it is smaller than the sum of its proper divisors (161454090384).

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

77890590576 is a wasteful number, since it uses less digits than its factorization.

77890590576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 77890590576 in words is "seventy-seven billion, eight hundred ninety million, five hundred ninety thousand, five hundred seventy-six".