77225050828800 has 3744 divisors, whose sum is σ = 346351819207680. Its totient is φ = 16059256012800.

The previous prime is 77225050828753. The next prime is 77225050828831. The reversal of 77225050828800 is 882805052277.

77225050828800 is a `hidden beast` number, since 7 + 7 + 2 + 2 + 50 + 508 + 2 + 8 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 563686502332 + ... + 563686502468.

It is an arithmetic number, because the mean of its divisors is an integer number (92508498720).

Almost surely, 2^{77225050828800} is an apocalyptic number.

77225050828800 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 77225050828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173175909603840).

77225050828800 is an abundant number, since it is smaller than the sum of its proper divisors (269126768378880).

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

77225050828800 is a wasteful number, since it uses less digits than its factorization.

77225050828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 77225050828800 in words is "seventy-seven trillion, two hundred twenty-five billion, fifty million, eight hundred twenty-eight thousand, eight hundred".