88678800 has 600 divisors, whose sum is σ = 401867136. Its totient is φ = 18247680.

The previous prime is 88678789. The next prime is 88678813. The reversal of 88678800 is 887688.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3855589 + ... + 3855611.

Almost surely, 2^88678800 is an apocalyptic number.

88678800 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 88678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200933568).

88678800 is an abundant number, since it is smaller than the sum of its proper divisors (313188336).

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

88678800 is a wasteful number, since it uses less digits than its factorization.

88678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 88678800 is about 9416.9421788604. The cubic root of 88678800 is about 445.9367549591.

The spelling of 88678800 in words is "eighty-eight million, six hundred seventy-eight thousand, eight hundred".