80798400 has 252 divisors, whose sum is σ = 298078144. Its totient is φ = 20736000.

The previous prime is 80798363. The next prime is 80798401. The reversal of 80798400 is 489708.

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

It is not an unprimeable number, because it can be changed into a prime (80798401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446310 + ... + 446490.

Almost surely, 2^80798400 is an apocalyptic number.

80798400 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 80798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149039072).

80798400 is an abundant number, since it is smaller than the sum of its proper divisors (217279744).

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

80798400 is a wasteful number, since it uses less digits than its factorization.

80798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80798400 is about 8988.7930224252. The cubic root of 80798400 is about 432.3156129829.

The spelling of 80798400 in words is "eighty million, seven hundred ninety-eight thousand, four hundred".