77272004784 has 160 divisors (see below), whose sum is σ = 217060107264. Its totient is φ = 23546234880.

The previous prime is 77272004773. The next prime is 77272004801. The reversal of 77272004784 is 48740027277.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48812857 + ... + 48814439.

Almost surely, 2^77272004784 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 77272004784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108530053632).

77272004784 is an abundant number, since it is smaller than the sum of its proper divisors (139788102480).

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

77272004784 is a wasteful number, since it uses less digits than its factorization.

77272004784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 1229312, while the sum is 48.

The spelling of 77272004784 in words is "seventy-seven billion, two hundred seventy-two million, four thousand, seven hundred eighty-four".