77505504000 has 288 divisors, whose sum is σ = 262309005504. Its totient is φ = 20276838400.

The previous prime is 77505503941. The next prime is 77505504017. The reversal of 77505504000 is 40550577.

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 31 ways as a sum of consecutive naturals, for example, 5080384 + ... + 5095616.

It is an arithmetic number, because the mean of its divisors is an integer number (910795158).

Almost surely, 2^77505504000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77505504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131154502752).

77505504000 is an abundant number, since it is smaller than the sum of its proper divisors (184803501504).

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

77505504000 is a wasteful number, since it uses less digits than its factorization.

77505504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15296 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 33.

The spelling of 77505504000 in words is "seventy-seven billion, five hundred five million, five hundred four thousand".