77893764090240 has 1024 divisors, whose sum is σ = 298507387207680. Its totient is φ = 16907304960000.

The previous prime is 77893764090223. The next prime is 77893764090271. The reversal of 77893764090240 is 4209046739877.

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 127 ways as a sum of consecutive naturals, for example, 3709039740 + ... + 3709060740.

It is an arithmetic number, because the mean of its divisors is an integer number (291511120320).

Almost surely, 2^{77893764090240} is an apocalyptic number.

77893764090240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77893764090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149253693603840).

77893764090240 is an abundant number, since it is smaller than the sum of its proper divisors (220613623117440).

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

77893764090240 is a wasteful number, since it uses less digits than its factorization.

77893764090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21251 (or 21239 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 77893764090240 in words is "seventy-seven trillion, eight hundred ninety-three billion, seven hundred sixty-four million, ninety thousand, two hundred forty".