7877055456 has 216 divisors, whose sum is σ = 23641745400. Its totient is φ = 2487479808.

The previous prime is 7877055419. The next prime is 7877055463. The reversal of 7877055456 is 6545507787.

It is a happy number.

7877055456 is a `hidden beast` number, since 7 + 87 + 7 + 0 + 554 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22700275 + ... + 22700621.

It is an arithmetic number, because the mean of its divisors is an integer number (109452525).

Almost surely, 2^7877055456 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 7877055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11820872700).

7877055456 is an abundant number, since it is smaller than the sum of its proper divisors (15764689944).

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

7877055456 is a wasteful number, since it uses less digits than its factorization.

7877055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The square root of 7877055456 is about 88752.7771734496. Note that the first 3 decimals coincide. The cubic root of 7877055456 is about 1989.7016847002.

The spelling of 7877055456 in words is "seven billion, eight hundred seventy-seven million, fifty-five thousand, four hundred fifty-six".