80352000 has 360 divisors, whose sum is σ = 308660352. Its totient is φ = 20736000.

The previous prime is 80351983. The next prime is 80352001. The reversal of 80352000 is 25308.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (80352001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591985 + ... + 2592015.

Almost surely, 2^80352000 is an apocalyptic number.

80352000 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 80352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154330176).

80352000 is an abundant number, since it is smaller than the sum of its proper divisors (228308352).

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

80352000 is an equidigital number, since it uses as much as digits as its factorization.

80352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 80352000 is about 8963.9277105519. The cubic root of 80352000 is about 431.5179808889.

Adding to 80352000 its reverse (25308), we get a palindrome (80377308).

The spelling of 80352000 in words is "eighty million, three hundred fifty-two thousand".