77411842560 has 900 divisors, whose sum is σ = 306757297638. Its totient is φ = 18649792512.

The previous prime is 77411842553. The next prime is 77411842663. The reversal of 77411842560 is 6524811477.

77411842560 is a `hidden beast` number, since 7 + 7 + 4 + 1 + 1 + 84 + 2 + 560 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33392445696 + 44019396864 = 182736^2 + 209808^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 89 ways as a sum of consecutive naturals, for example, 1647060457 + ... + 1647060503.

Almost surely, 2^77411842560 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 77411842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153378648819).

77411842560 is an abundant number, since it is smaller than the sum of its proper divisors (229345455078).

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

77411842560 is an equidigital number, since it uses as much as digits as its factorization.

77411842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 77411842560 in words is "seventy-seven billion, four hundred eleven million, eight hundred forty-two thousand, five hundred sixty".