8678102400 has 768 divisors, whose sum is σ = 36244108800. Its totient is φ = 2007244800.

The previous prime is 8678102399. The next prime is 8678102449. The reversal of 8678102400 is 42018768.

8678102400 is a `hidden beast` number, since 86 + 78 + 102 + 400 = 666.

It is a super-2 number, since 2×8678102400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21859002 + ... + 21859398.

It is an arithmetic number, because the mean of its divisors is an integer number (47192850).

Almost surely, 2^8678102400 is an apocalyptic number.

8678102400 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 8678102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18122054400).

8678102400 is an abundant number, since it is smaller than the sum of its proper divisors (27566006400).

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

8678102400 is a wasteful number, since it uses less digits than its factorization.

8678102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8678102400 is about 93156.3331180441. Note that the first 3 decimals coincide. The cubic root of 8678102400 is about 2054.9831103093.

The spelling of 8678102400 in words is "eight billion, six hundred seventy-eight million, one hundred two thousand, four hundred".