77303955456 has 540 divisors, whose sum is σ = 280098082992. Its totient is φ = 20363083776.

The previous prime is 77303955439. The next prime is 77303955481. The reversal of 77303955456 is 65455930377.

77303955456 is a `hidden beast` number, since 7 + 7 + 3 + 0 + 3 + 95 + 545 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93929061 + ... + 93929883.

Almost surely, 2^77303955456 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 77303955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049041496).

77303955456 is an abundant number, since it is smaller than the sum of its proper divisors (202794127536).

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

77303955456 is a wasteful number, since it uses less digits than its factorization.

77303955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 77303955456 in words is "seventy-seven billion, three hundred three million, nine hundred fifty-five thousand, four hundred fifty-six".