77270400363000 has 1024 divisors, whose sum is σ = 281026580889600. Its totient is φ = 17510656204800.

The previous prime is 77270400362777. The next prime is 77270400363097. The reversal of 77270400363000 is 36300407277.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 77270400363000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35011507897 + ... + 35011510103.

It is an arithmetic number, because the mean of its divisors is an integer number (274440020400).

Almost surely, 2^{77270400363000} 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 77270400363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140513290444800).

77270400363000 is an abundant number, since it is smaller than the sum of its proper divisors (203756180526600).

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

77270400363000 is a wasteful number, since it uses less digits than its factorization.

77270400363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 39.

The spelling of 77270400363000 in words is "seventy-seven trillion, two hundred seventy billion, four hundred million, three hundred sixty-three thousand".