77408200656 has 240 divisors, whose sum is σ = 245418488640. Its totient is φ = 22628782080.

The previous prime is 77408200651. The next prime is 77408200691. The reversal of 77408200656 is 65600280477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77408200651) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2823591 + ... + 2850873.

It is an arithmetic number, because the mean of its divisors is an integer number (1022577036).

Almost surely, 2^77408200656 is an apocalyptic number.

77408200656 is a gapful number since it is divisible by the number (76) 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 77408200656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122709244320).

77408200656 is an abundant number, since it is smaller than the sum of its proper divisors (168010287984).

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

77408200656 is a wasteful number, since it uses less digits than its factorization.

77408200656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27394 (or 27385 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77408200656 in words is "seventy-seven billion, four hundred eight million, two hundred thousand, six hundred fifty-six".