7785960 has 256 divisors, whose sum is σ = 30965760. Its totient is φ = 1520640.

The previous prime is 7785917. The next prime is 7785971. The reversal of 7785960 is 695877.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251145 + ... + 251175.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^7785960 is an apocalyptic number.

7785960 is a gapful number since it is divisible by the number (70) 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 7785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

7785960 is an abundant number, since it is smaller than the sum of its proper divisors (23179800).

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

7785960 is a wasteful number, since it uses less digits than its factorization.

7785960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 7785960 is about 2790.3333134233. Note that the first 4 decimals coincide. The cubic root of 7785960 is about 198.2001852527.

The spelling of 7785960 in words is "seven million, seven hundred eighty-five thousand, nine hundred sixty".