77730989286825 has 288 divisors, whose sum is σ = 168491086832640. Its totient is φ = 33498563212800.

The previous prime is 77730989286697. The next prime is 77730989286851. The reversal of 77730989286825 is 52868298903777.

77730989286825 is a `hidden beast` number, since 7 + 7 + 7 + 309 + 8 + 9 + 286 + 8 + 25 = 666.

It is not a de Polignac number, because 77730989286825 - 2⁷ = 77730989286697 is a prime.

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 287 ways as a sum of consecutive naturals, for example, 7013527734 + ... + 7013538816.

Almost surely, 2^{77730989286825} is an apocalyptic number.

77730989286825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77730989286825 is an abundant number, since it is smaller than the sum of its proper divisors (90760097545815).

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

77730989286825 is a wasteful number, since it uses less digits than its factorization.

77730989286825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 81.

The spelling of 77730989286825 in words is "seventy-seven trillion, seven hundred thirty billion, nine hundred eighty-nine million, two hundred eighty-six thousand, eight hundred twenty-five".