80288000 has 144 divisors (see below), whose sum is σ = 216508656. Its totient is φ = 29491200.

The previous prime is 80287997. The next prime is 80288023. The reversal of 80288000 is 88208.

It can be written as a sum of positive squares in 8 ways, for example, as 52070656 + 28217344 = 7216^2 + 5312^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415904 + ... + 416096.

Almost surely, 2^80288000 is an apocalyptic number.

80288000 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 80288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108254328).

80288000 is an abundant number, since it is smaller than the sum of its proper divisors (136220656).

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

80288000 is a wasteful number, since it uses less digits than its factorization.

80288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 80288000 is about 8960.3571357396. The cubic root of 80288000 is about 431.4033830928.

It can be divided in two parts, 80 and 288000, that multiplied together give a square (23040000 = 4800²).

The spelling of 80288000 in words is "eighty million, two hundred eighty-eight thousand".