77405995008 has 600 divisors, whose sum is σ = 253493900352. Its totient is φ = 23441965056.

The previous prime is 77405994983. The next prime is 77405995013. The reversal of 77405995008 is 80059950477.

77405995008 is a `hidden beast` number, since 7 + 7 + 40 + 5 + 99 + 500 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1060356060 + ... + 1060356132.

Almost surely, 2^77405995008 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 77405995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126746950176).

77405995008 is an abundant number, since it is smaller than the sum of its proper divisors (176087905344).

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

77405995008 is an equidigital number, since it uses as much as digits as its factorization.

77405995008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 77405995008 in words is "seventy-seven billion, four hundred five million, nine hundred ninety-five thousand, eight".