7875778560 has 576 divisors, whose sum is σ = 28704443040. Its totient is φ = 1840250880.

The previous prime is 7875778457. The next prime is 7875778567. The reversal of 7875778560 is 658775787.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7875778494 and 7875778503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7875778567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192092140 + ... + 192092180.

Almost surely, 2^7875778560 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 7875778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352221520).

7875778560 is an abundant number, since it is smaller than the sum of its proper divisors (20828664480).

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

7875778560 is a wasteful number, since it uses less digits than its factorization.

7875778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23049600, while the sum is 60.

The square root of 7875778560 is about 88745.5833267211. The cubic root of 7875778560 is about 1989.5941665449.

The spelling of 7875778560 in words is "seven billion, eight hundred seventy-five million, seven hundred seventy-eight thousand, five hundred sixty".