77240520000 has 1120 divisors, whose sum is σ = 343932906240. Its totient is φ = 16588800000.

The previous prime is 77240519959. The next prime is 77240520001. The reversal of 77240520000 is 2504277.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77240520001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 128519700 + ... + 128520300.

It is an arithmetic number, because the mean of its divisors is an integer number (307082952).

Almost surely, 2^77240520000 is an apocalyptic number.

77240520000 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 77240520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171966453120).

77240520000 is an abundant number, since it is smaller than the sum of its proper divisors (266692386240).

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

77240520000 is a wasteful number, since it uses less digits than its factorization.

77240520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The spelling of 77240520000 in words is "seventy-seven billion, two hundred forty million, five hundred twenty thousand".