77870247526656 has 1440 divisors, whose sum is σ = 260240881725440. Its totient is φ = 23144409759744.

The previous prime is 77870247526651. The next prime is 77870247526657. The reversal of 77870247526656 is 65662574207877.

77870247526656 is a `hidden beast` number, since 7 + 7 + 8 + 7 + 0 + 2 + 47 + 526 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (77870247526651) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 248786733156 + ... + 248786733468.

Almost surely, 2^{77870247526656} 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 77870247526656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130120440862720).

77870247526656 is an abundant number, since it is smaller than the sum of its proper divisors (182370634198784).

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

77870247526656 is a wasteful number, since it uses less digits than its factorization.

77870247526656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1659571200, while the sum is 72.

The spelling of 77870247526656 in words is "seventy-seven trillion, eight hundred seventy billion, two hundred forty-seven million, five hundred twenty-six thousand, six hundred fifty-six".