7855323840 has 896 divisors, whose sum is σ = 34793041920. Its totient is φ = 1624375296.

The previous prime is 7855323823. The next prime is 7855323851. The reversal of 7855323840 is 483235587.

7855323840 is a `hidden beast` number, since 7 + 85 + 532 + 38 + 4 + 0 = 666.

It is a super-2 number, since 2×7855323840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76265229 + ... + 76265331.

It is an arithmetic number, because the mean of its divisors is an integer number (38831520).

Almost surely, 2^7855323840 is an apocalyptic number.

7855323840 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 7855323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396520960).

7855323840 is an abundant number, since it is smaller than the sum of its proper divisors (26937718080).

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

7855323840 is a wasteful number, since it uses less digits than its factorization.

7855323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 7855323840 is about 88630.2648083599. The cubic root of 7855323840 is about 1987.8702364739.

The spelling of 7855323840 in words is "seven billion, eight hundred fifty-five million, three hundred twenty-three thousand, eight hundred forty".