77644807552 has 64 divisors (see below), whose sum is σ = 168453734400. Its totient is φ = 35433345024.

The previous prime is 77644807543. The next prime is 77644807589. The reversal of 77644807552 is 25570844677.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×77644807552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77644807493 and 77644807502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114048 + ... + 410239.

It is an arithmetic number, because the mean of its divisors is an integer number (2632089600).

Almost surely, 2^77644807552 is an apocalyptic number.

It is an amenable number.

77644807552 is an abundant number, since it is smaller than the sum of its proper divisors (90808926848).

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

77644807552 is a wasteful number, since it uses less digits than its factorization.

77644807552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524403 (or 524391 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 55.

The spelling of 77644807552 in words is "seventy-seven billion, six hundred forty-four million, eight hundred seven thousand, five hundred fifty-two".