70826400 has 180 divisors, whose sum is σ = 258526422. Its totient is φ = 18869760.

The previous prime is 70826389. The next prime is 70826401. The reversal of 70826400 is 462807.

It can be written as a sum of positive squares in 3 ways, for example, as 67963536 + 2862864 = 8244^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (70826401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64254 + ... + 65346.

Almost surely, 2^70826400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129263211).

70826400 is an abundant number, since it is smaller than the sum of its proper divisors (187700022).

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

70826400 is a wasteful number, since it uses less digits than its factorization.

70826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 70826400 is about 8415.8422038439. The cubic root of 70826400 is about 413.7440131419.

The spelling of 70826400 in words is "seventy million, eight hundred twenty-six thousand, four hundred".