77568404193280 has 3072 divisors, whose sum is σ = 277399651737600. Its totient is φ = 20180474265600.

The previous prime is 77568404193271. The next prime is 77568404193367. The reversal of 77568404193280 is 8239140486577.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1062580879324 + ... + 1062580879396.

It is an arithmetic number, because the mean of its divisors is an integer number (90299365800).

It is a 1-persistent number, because it is pandigital, but 2⋅77568404193280 = 155136808386560 is not.

Almost surely, 2^{77568404193280} is an apocalyptic number.

77568404193280 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 77568404193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138699825868800).

77568404193280 is an abundant number, since it is smaller than the sum of its proper divisors (199831247544320).

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

77568404193280 is a wasteful number, since it uses less digits than its factorization.

77568404193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 77568404193280 in words is "seventy-seven trillion, five hundred sixty-eight billion, four hundred four million, one hundred ninety-three thousand, two hundred eighty".