7255959600 has 240 divisors, whose sum is σ = 23697983232. Its totient is φ = 1897466880.

The previous prime is 7255959589. The next prime is 7255959643. The reversal of 7255959600 is 69595527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7255959600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26194662 + ... + 26194938.

Almost surely, 2^7255959600 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 7255959600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848991616).

7255959600 is an abundant number, since it is smaller than the sum of its proper divisors (16442023632).

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

7255959600 is a wasteful number, since it uses less digits than its factorization.

7255959600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 48.

The square root of 7255959600 is about 85181.9206169948. The cubic root of 7255959600 is about 1935.9684940687.

The spelling of 7255959600 in words is "seven billion, two hundred fifty-five million, nine hundred fifty-nine thousand, six hundred".