7800468000 has 384 divisors, whose sum is σ = 28425406464. Its totient is φ = 1857024000.

The previous prime is 7800467989. The next prime is 7800468001. The reversal of 7800468000 is 8640087.

It is not an unprimeable number, because it can be changed into a prime (7800468001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4835194 + ... + 4836806.

It is an arithmetic number, because the mean of its divisors is an integer number (74024496).

Almost surely, 2^7800468000 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 7800468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212703232).

7800468000 is an abundant number, since it is smaller than the sum of its proper divisors (20624938464).

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

7800468000 is a wasteful number, since it uses less digits than its factorization.

7800468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7800468000 is about 88320.2581517966. The cubic root of 7800468000 is about 1983.2321457372.

It can be divided in two parts, 7800 and 468000, that added together give a triangular number (475800 = T₉₇₅).

The spelling of 7800468000 in words is "seven billion, eight hundred million, four hundred sixty-eight thousand".