77905063923456 has 864 divisors, whose sum is σ = 275048656404480. Its totient is φ = 19334207692800.

The previous prime is 77905063923443. The next prime is 77905063923541. The reversal of 77905063923456 is 65432936050977.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1013730025 + ... + 1013806871.

It is an arithmetic number, because the mean of its divisors is an integer number (318343352320).

Almost surely, 2^{77905063923456} 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 77905063923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137524328202240).

77905063923456 is an abundant number, since it is smaller than the sum of its proper divisors (197143592481024).

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

77905063923456 is a wasteful number, since it uses less digits than its factorization.

77905063923456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77001 (or 76980 counting only the distinct ones).

The product of its (nonzero) digits is 257191200, while the sum is 66.

The spelling of 77905063923456 in words is "seventy-seven trillion, nine hundred five billion, sixty-three million, nine hundred twenty-three thousand, four hundred fifty-six".