77011787888640 has 1920 divisors, whose sum is σ = 319788731021760. Its totient is φ = 17519188377600.

The previous prime is 77011787888627. The next prime is 77011787888719. The reversal of 77011787888640 is 4688878711077.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80809850404 + ... + 80809851356.

Almost surely, 2^{77011787888640} 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 77011787888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159894365510880).

77011787888640 is an abundant number, since it is smaller than the sum of its proper divisors (242776943133120).

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

77011787888640 is a wasteful number, since it uses less digits than its factorization.

77011787888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 236027904, while the sum is 72.

The spelling of 77011787888640 in words is "seventy-seven trillion, eleven billion, seven hundred eighty-seven million, eight hundred eighty-eight thousand, six hundred forty".