88802400 has 144 divisors (see below), whose sum is σ = 292106304. Its totient is φ = 23431680.

The previous prime is 88802381. The next prime is 88802419. The reversal of 88802400 is 420888.

It is an interprime number because it is at equal distance from previous prime (88802381) and next prime (88802419).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391087 + ... + 391313.

It is an arithmetic number, because the mean of its divisors is an integer number (2028516).

Almost surely, 2^88802400 is an apocalyptic number.

88802400 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 88802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146053152).

88802400 is an abundant number, since it is smaller than the sum of its proper divisors (203303904).

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

88802400 is a wasteful number, since it uses less digits than its factorization.

88802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 88802400 is about 9423.5025335594. The cubic root of 88802400 is about 446.1438401366.

The spelling of 88802400 in words is "eighty-eight million, eight hundred two thousand, four hundred".