7885016160 has 768 divisors, whose sum is σ = 31965954048. Its totient is φ = 1592524800.

The previous prime is 7885016089. The next prime is 7885016197. The reversal of 7885016160 is 616105887.

It is a super-2 number, since 2×7885016160² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108013884 + ... + 108013956.

It is an arithmetic number, because the mean of its divisors is an integer number (41622336).

Almost surely, 2^7885016160 is an apocalyptic number.

7885016160 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 7885016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982977024).

7885016160 is an abundant number, since it is smaller than the sum of its proper divisors (24080937888).

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

7885016160 is a wasteful number, since it uses less digits than its factorization.

7885016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 7885016160 is about 88797.6134814444. The cubic root of 7885016160 is about 1990.3717359804.

The spelling of 7885016160 in words is "seven billion, eight hundred eighty-five million, sixteen thousand, one hundred sixty".