80270800 has 60 divisors (see below), whose sum is σ = 195563500. Its totient is φ = 31656960.

The previous prime is 80270777. The next prime is 80270831. The reversal of 80270800 is 807208.

It can be written as a sum of positive squares in 6 ways, for example, as 8156736 + 72114064 = 2856^2 + 8492^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27826 + ... + 30574.

Almost surely, 2^80270800 is an apocalyptic number.

80270800 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 80270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97781750).

80270800 is an abundant number, since it is smaller than the sum of its proper divisors (115292700).

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

80270800 is a wasteful number, since it uses less digits than its factorization.

80270800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 80270800 is about 8959.3973011582. The cubic root of 80270800 is about 431.3725745530.

The spelling of 80270800 in words is "eighty million, two hundred seventy thousand, eight hundred".