8070400 has 108 divisors (see below), whose sum is σ = 21733852. Its totient is φ = 2949120.

The previous prime is 8070397. The next prime is 8070407. The reversal of 8070400 is 40708.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 7054336 = 1008^2 + 2656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8070407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83152 + ... + 83248.

Almost surely, 2^8070400 is an apocalyptic number.

8070400 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 8070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866926).

8070400 is an abundant number, since it is smaller than the sum of its proper divisors (13663452).

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

8070400 is a wasteful number, since it uses less digits than its factorization.

8070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 8070400 is about 2840.8449447304. The cubic root of 8070400 is about 200.5849541420.

The spelling of 8070400 in words is "eight million, seventy thousand, four hundred".