77455872000 has 832 divisors, whose sum is σ = 309124408320. Its totient is φ = 19021824000.

The previous prime is 77455871981. The next prime is 77455872001. The reversal of 77455872000 is 27855477.

77455872000 is a `hidden beast` number, since 7 + 7 + 45 + 587 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77455872001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 179711785 + ... + 179712215.

It is an arithmetic number, because the mean of its divisors is an integer number (371543760).

Almost surely, 2^77455872000 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 77455872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154562204160).

77455872000 is an abundant number, since it is smaller than the sum of its proper divisors (231668536320).

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

77455872000 is a wasteful number, since it uses less digits than its factorization.

77455872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 77455872000 in words is "seventy-seven billion, four hundred fifty-five million, eight hundred seventy-two thousand".