70022400 has 216 divisors, whose sum is σ = 264608064. Its totient is φ = 15974400.

The previous prime is 70022357. The next prime is 70022411. The reversal of 70022400 is 422007.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70022400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134140 + ... + 134660.

Almost surely, 2^70022400 is an apocalyptic number.

70022400 is a gapful number since it is divisible by the number (70) 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 70022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132304032).

70022400 is an abundant number, since it is smaller than the sum of its proper divisors (194585664).

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

70022400 is a wasteful number, since it uses less digits than its factorization.

70022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 70022400 is about 8367.9388143079. The cubic root of 70022400 is about 412.1724856691.

Adding to 70022400 its reverse (422007), we get a palindrome (70444407).

The spelling of 70022400 in words is "seventy million, twenty-two thousand, four hundred".