77677885440 has 1152 divisors, whose sum is σ = 309086668800. Its totient is φ = 18632540160.

The previous prime is 77677885403. The next prime is 77677885457. The reversal of 77677885440 is 4458877677.

77677885440 is a `hidden beast` number, since 7 + 7 + 6 + 7 + 7 + 88 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 1465620454 + ... + 1465620506.

It is an arithmetic number, because the mean of its divisors is an integer number (268304400).

Almost surely, 2^77677885440 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 77677885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154543334400).

77677885440 is an abundant number, since it is smaller than the sum of its proper divisors (231408783360).

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

77677885440 is a wasteful number, since it uses less digits than its factorization.

77677885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 77677885440 in words is "seventy-seven billion, six hundred seventy-seven million, eight hundred eighty-five thousand, four hundred forty".