80052000 has 192 divisors, whose sum is σ = 300029184. Its totient is φ = 18278400.

The previous prime is 80051981. The next prime is 80052017. The reversal of 80052000 is 25008.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83524 + ... + 84476.

It is an arithmetic number, because the mean of its divisors is an integer number (1562652).

Almost surely, 2^80052000 is an apocalyptic number.

80052000 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 80052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150014592).

80052000 is an abundant number, since it is smaller than the sum of its proper divisors (219977184).

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

80052000 is a wasteful number, since it uses less digits than its factorization.

80052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 80052000 is about 8947.1783261540. The cubic root of 80052000 is about 430.9802766225.

Adding to 80052000 its reverse (25008), we get a palindrome (80077008).

The spelling of 80052000 in words is "eighty million, fifty-two thousand".