77772480192 has 252 divisors, whose sum is σ = 258338930616. Its totient is φ = 22180577280.

The previous prime is 77772480167. The next prime is 77772480197. The reversal of 77772480192 is 29108427777.

77772480192 is a `hidden beast` number, since 7 + 7 + 7 + 72 + 480 + 1 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (77772480197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1809868 + ... + 1852340.

Almost surely, 2^77772480192 is an apocalyptic number.

77772480192 is a gapful number since it is divisible by the number (72) 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 77772480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129169465308).

77772480192 is an abundant number, since it is smaller than the sum of its proper divisors (180566450424).

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

77772480192 is a wasteful number, since it uses less digits than its factorization.

77772480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42536 (or 42506 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 77772480192 in words is "seventy-seven billion, seven hundred seventy-two million, four hundred eighty thousand, one hundred ninety-two".