77052600000 has 672 divisors, whose sum is σ = 298430899200. Its totient is φ = 19440000000.

The previous prime is 77052599963. The next prime is 77052600041. The reversal of 77052600000 is 625077.

77052600000 is a `hidden beast` number, since 7 + 7 + 0 + 52 + 600 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102599625 + ... + 102600375.

It is an arithmetic number, because the mean of its divisors is an integer number (444093600).

Almost surely, 2^77052600000 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 77052600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149215449600).

77052600000 is an abundant number, since it is smaller than the sum of its proper divisors (221378299200).

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

77052600000 is an equidigital number, since it uses as much as digits as its factorization.

77052600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 77052600000 in words is "seventy-seven billion, fifty-two million, six hundred thousand".