77827153536 has 672 divisors, whose sum is σ = 262004363460. Its totient is φ = 22992076800.

The previous prime is 77827153517. The next prime is 77827153549. The reversal of 77827153536 is 63535172877.

It is a happy number.

77827153536 is a `hidden beast` number, since 7 + 7 + 8 + 2 + 71 + 535 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50949518400 + 26877635136 = 225720^2 + 163944^2 .

It is a super-2 number, since 2×77827153536² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 688735816 + ... + 688735928.

Almost surely, 2^77827153536 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 77827153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131002181730).

77827153536 is an abundant number, since it is smaller than the sum of its proper divisors (184177209924).

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

77827153536 is a wasteful number, since it uses less digits than its factorization.

77827153536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 77827153536 in words is "seventy-seven billion, eight hundred twenty-seven million, one hundred fifty-three thousand, five hundred thirty-six".