80294400 has 360 divisors, whose sum is σ = 311675364. Its totient is φ = 19660800.

The previous prime is 80294387. The next prime is 80294407. The reversal of 80294400 is 449208.

It can be written as a sum of positive squares in 6 ways, for example, as 19079424 + 61214976 = 4368^2 + 7824^2 .

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

It is not an unprimeable number, because it can be changed into a prime (80294407) 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, 1958380 + ... + 1958420.

Almost surely, 2^80294400 is an apocalyptic number.

80294400 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 80294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155837682).

80294400 is an abundant number, since it is smaller than the sum of its proper divisors (231380964).

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

80294400 is a wasteful number, since it uses less digits than its factorization.

80294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80294400 is about 8960.7142572453. The cubic root of 80294400 is about 431.4148456123.

The spelling of 80294400 in words is "eighty million, two hundred ninety-four thousand, four hundred".