77505120000 has 1440 divisors, whose sum is σ = 358607208960. Its totient is φ = 16035840000.

The previous prime is 77505119977. The next prime is 77505120013. The reversal of 77505120000 is 2150577.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 332639884 + ... + 332640116.

It is an arithmetic number, because the mean of its divisors is an integer number (249032784).

Almost surely, 2^77505120000 is an apocalyptic number.

77505120000 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 77505120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179303604480).

77505120000 is an abundant number, since it is smaller than the sum of its proper divisors (281102088960).

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

77505120000 is a wasteful number, since it uses less digits than its factorization.

77505120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

Adding to 77505120000 its reverse (2150577), we get a palindrome (77507270577).

The spelling of 77505120000 in words is "seventy-seven billion, five hundred five million, one hundred twenty thousand".