7968825900 has 864 divisors, whose sum is σ = 32297932800. Its totient is φ = 1676505600.

The previous prime is 7968825883. The next prime is 7968825923. The reversal of 7968825900 is 95288697.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118937667 + ... + 118937733.

Almost surely, 2^7968825900 is an apocalyptic number.

7968825900 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 7968825900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148966400).

7968825900 is an abundant number, since it is smaller than the sum of its proper divisors (24329106900).

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

7968825900 is a wasteful number, since it uses less digits than its factorization.

7968825900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 7968825900 is about 89268.2804808068. The cubic root of 7968825900 is about 1997.3987766185.

The spelling of 7968825900 in words is "seven billion, nine hundred sixty-eight million, eight hundred twenty-five thousand, nine hundred".