7865049600 has 360 divisors, whose sum is σ = 28594977840. Its totient is φ = 2064015360.

The previous prime is 7865049589. The next prime is 7865049613. The reversal of 7865049600 is 69405687.

7865049600 is a `hidden beast` number, since 7 + 86 + 504 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 7717891 + ... + 7718909.

It is an arithmetic number, because the mean of its divisors is an integer number (79430494).

Almost surely, 2^7865049600 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 7865049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297488920).

7865049600 is an abundant number, since it is smaller than the sum of its proper divisors (20729928240).

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

7865049600 is a wasteful number, since it uses less digits than its factorization.

7865049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7865049600 is about 88685.1148727902. The cubic root of 7865049600 is about 1988.6902992188.

The spelling of 7865049600 in words is "seven billion, eight hundred sixty-five million, forty-nine thousand, six hundred".