77457253104 has 280 divisors, whose sum is σ = 280531723392. Its totient is φ = 20118533760.

The previous prime is 77457253073. The next prime is 77457253123. The reversal of 77457253104 is 40135275477.

77457253104 is a `hidden beast` number, since 7 + 7 + 45 + 72 + 531 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 77457253104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 855007 + ... + 941249.

Almost surely, 2^77457253104 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 77457253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140265861696).

77457253104 is an abundant number, since it is smaller than the sum of its proper divisors (203074470288).

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

77457253104 is a wasteful number, since it uses less digits than its factorization.

77457253104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86287 (or 86266 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 77457253104 in words is "seventy-seven billion, four hundred fifty-seven million, two hundred fifty-three thousand, one hundred four".