7925887200 has 648 divisors, whose sum is σ = 33046306776. Its totient is φ = 1643980800.

The previous prime is 7925887187. The next prime is 7925887201. The reversal of 7925887200 is 27885297.

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 7925887200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7925887201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14229322 + ... + 14229878.

It is an arithmetic number, because the mean of its divisors is an integer number (50997387).

Almost surely, 2^7925887200 is an apocalyptic number.

7925887200 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 7925887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523153388).

7925887200 is an abundant number, since it is smaller than the sum of its proper divisors (25120419576).

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

7925887200 is a wasteful number, since it uses less digits than its factorization.

7925887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 7925887200 is about 89027.4519460149. The cubic root of 7925887200 is about 1993.8047626655.

The spelling of 7925887200 in words is "seven billion, nine hundred twenty-five million, eight hundred eighty-seven thousand, two hundred".