77727336450 has 48 divisors (see below), whose sum is σ = 193120306176. Its totient is φ = 20688955200.

The previous prime is 77727336431. The next prime is 77727336473. The reversal of 77727336450 is 5463372777.

It is a super-3 number, since 3×77727336450³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 77727336393 and 77727336402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397762 + ... + 560061.

It is an arithmetic number, because the mean of its divisors is an integer number (4023339712).

Almost surely, 2^77727336450 is an apocalyptic number.

77727336450 is an abundant number, since it is smaller than the sum of its proper divisors (115392969726).

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

77727336450 is a wasteful number, since it uses less digits than its factorization.

77727336450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958379 (or 958374 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 51.

The spelling of 77727336450 in words is "seventy-seven billion, seven hundred twenty-seven million, three hundred thirty-six thousand, four hundred fifty".