8878464000 has 704 divisors, whose sum is σ = 37604536320. Its totient is φ = 2023833600.

The previous prime is 8878463959. The next prime is 8878464031. The reversal of 8878464000 is 4648788.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 24191817 + ... + 24192183.

Almost surely, 2^8878464000 is an apocalyptic number.

8878464000 is a gapful number since it is divisible by the number (80) 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 8878464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802268160).

8878464000 is an abundant number, since it is smaller than the sum of its proper divisors (28726072320).

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

8878464000 is a wasteful number, since it uses less digits than its factorization.

8878464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8878464000 is about 94225.6016165458. The cubic root of 8878464000 is about 2070.6782066723.

It can be divided in two parts, 8878 and 464000, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 8878464000 in words is "eight billion, eight hundred seventy-eight million, four hundred sixty-four thousand".