77441472000 has 480 divisors, whose sum is σ = 287993781504. Its totient is φ = 19980288000.

The previous prime is 77441471957. The next prime is 77441472001. The reversal of 77441472000 is 27414477.

77441472000 is a `hidden beast` number, since 7 + 7 + 441 + 4 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77441472001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17853832 + ... + 17858168.

Almost surely, 2^77441472000 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 77441472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143996890752).

77441472000 is an abundant number, since it is smaller than the sum of its proper divisors (210552309504).

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

77441472000 is a wasteful number, since it uses less digits than its factorization.

77441472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

Adding to 77441472000 its reverse (27414477), we get a palindrome (77468886477).

The spelling of 77441472000 in words is "seventy-seven billion, four hundred forty-one million, four hundred seventy-two thousand".