77772643987248 has 400 divisors, whose sum is σ = 258784597868544. Its totient is φ = 22088858319360.

The previous prime is 77772643987231. The next prime is 77772643987273. The reversal of 77772643987248 is 84278934627777.

77772643987248 is a `hidden beast` number, since 7 + 7 + 7 + 7 + 264 + 39 + 87 + 248 = 666.

It is a super-2 number, since 2×77772643987248² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1083042961 + ... + 1083114767.

Almost surely, 2^{77772643987248} 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 77772643987248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129392298934272).

77772643987248 is an abundant number, since it is smaller than the sum of its proper divisors (181011953881296).

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

77772643987248 is a wasteful number, since it uses less digits than its factorization.

77772643987248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72542 (or 72527 counting only the distinct ones).

The product of its digits is 11152318464, while the sum is 81.

The spelling of 77772643987248 in words is "seventy-seven trillion, seven hundred seventy-two billion, six hundred forty-three million, nine hundred eighty-seven thousand, two hundred forty-eight".