7925904000 has 512 divisors, whose sum is σ = 33377011200. Its totient is φ = 1810944000.

The previous prime is 7925903987. The next prime is 7925904061. The reversal of 7925904000 is 4095297.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3022690 + ... + 3025310.

It is an arithmetic number, because the mean of its divisors is an integer number (65189475).

Almost surely, 2^7925904000 is an apocalyptic number.

7925904000 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 7925904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688505600).

7925904000 is an abundant number, since it is smaller than the sum of its proper divisors (25451107200).

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

7925904000 is a wasteful number, since it uses less digits than its factorization.

7925904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 7925904000 is about 89027.5462988844. The cubic root of 7925904000 is about 1993.8061713783.

Adding to 7925904000 its reverse (4095297), we get a palindrome (7929999297).

It can be divided in two parts, 7925 and 904000, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 7925904000 in words is "seven billion, nine hundred twenty-five million, nine hundred four thousand".