77758460640 has 864 divisors, whose sum is σ = 335579811840. Its totient is φ = 16286054400.

The previous prime is 77758460617. The next prime is 77758460687. The reversal of 77758460640 is 4606485777.

77758460640 is a `hidden beast` number, since 7 + 77 + 58 + 460 + 64 + 0 = 666.

It is a super-2 number, since 2×77758460640² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41558905 + ... + 41560775.

It is an arithmetic number, because the mean of its divisors is an integer number (388402560).

Almost surely, 2^77758460640 is an apocalyptic number.

77758460640 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 77758460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167789905920).

77758460640 is an abundant number, since it is smaller than the sum of its proper divisors (257821351200).

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

77758460640 is a wasteful number, since it uses less digits than its factorization.

77758460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 77758460640 in words is "seventy-seven billion, seven hundred fifty-eight million, four hundred sixty thousand, six hundred forty".