88798400 has 168 divisors, whose sum is σ = 241889280. Its totient is φ = 31933440.

The previous prime is 88798393. The next prime is 88798403. The reversal of 88798400 is 489788.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88798403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699137 + ... + 699263.

Almost surely, 2^88798400 is an apocalyptic number.

88798400 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 88798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944640).

88798400 is an abundant number, since it is smaller than the sum of its proper divisors (153090880).

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

88798400 is a wasteful number, since it uses less digits than its factorization.

88798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 88798400 is about 9423.2902958574. The cubic root of 88798400 is about 446.1371413606.

It can be divided in two parts, 88798 and 400, that added together give a palindrome (89198).

The spelling of 88798400 in words is "eighty-eight million, seven hundred ninety-eight thousand, four hundred".