77554990080 has 704 divisors, whose sum is σ = 297161516160. Its totient is φ = 19110297600.

The previous prime is 77554990069. The next prime is 77554990099. The reversal of 77554990080 is 8009945577.

77554990080 is a `hidden beast` number, since 7 + 7 + 5 + 549 + 90 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77554989999 and 77554990026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143354610 + ... + 143355150.

Almost surely, 2^77554990080 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 77554990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148580758080).

77554990080 is an abundant number, since it is smaller than the sum of its proper divisors (219606526080).

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

77554990080 is a wasteful number, since it uses less digits than its factorization.

77554990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 77554990080 in words is "seventy-seven billion, five hundred fifty-four million, nine hundred ninety thousand, eighty".