77805131040 has 768 divisors, whose sum is σ = 342372925440. Its totient is φ = 16062935040.

The previous prime is 77805130973. The next prime is 77805131069. The reversal of 77805131040 is 4013150877.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77805130986 and 77805131004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18474535 + ... + 18478745.

It is an arithmetic number, because the mean of its divisors is an integer number (445798080).

Almost surely, 2^77805131040 is an apocalyptic number.

77805131040 is a gapful number since it is divisible by the number (70) 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 77805131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171186462720).

77805131040 is an abundant number, since it is smaller than the sum of its proper divisors (264567794400).

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

77805131040 is a wasteful number, since it uses less digits than its factorization.

77805131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 77805131040 in words is "seventy-seven billion, eight hundred five million, one hundred thirty-one thousand, forty".