7876545456 has 160 divisors (see below), whose sum is σ = 23446554880. Its totient is φ = 2258150400.

The previous prime is 7876545419. The next prime is 7876545473. The reversal of 7876545456 is 6545456787.

7876545456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 7876545396 and 7876545405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717771 + ... + 728661.

It is an arithmetic number, because the mean of its divisors is an integer number (146540968).

Almost surely, 2^7876545456 is an apocalyptic number.

7876545456 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 7876545456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723277440).

7876545456 is an abundant number, since it is smaller than the sum of its proper divisors (15570009424).

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

7876545456 is a wasteful number, since it uses less digits than its factorization.

7876545456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10995 (or 10989 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 57.

The square root of 7876545456 is about 88749.9039774128. The cubic root of 7876545456 is about 1989.6587426912.

The spelling of 7876545456 in words is "seven billion, eight hundred seventy-six million, five hundred forty-five thousand, four hundred fifty-six".