7978860288 has 432 divisors, whose sum is σ = 27748820736. Its totient is φ = 2239488000.

The previous prime is 7978860283. The next prime is 7978860343. The reversal of 7978860288 is 8820688797.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×7978860288² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7978860283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31788163 + ... + 31788413.

Almost surely, 2^7978860288 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 7978860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874410368).

7978860288 is an abundant number, since it is smaller than the sum of its proper divisors (19769960448).

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

7978860288 is an equidigital number, since it uses as much as digits as its factorization.

7978860288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The square root of 7978860288 is about 89324.4663460129. The cubic root of 7978860288 is about 1998.2368033589.

The spelling of 7978860288 in words is "seven billion, nine hundred seventy-eight million, eight hundred sixty thousand, two hundred eighty-eight".