70400 has 54 divisors (see below), whose sum is σ = 190092. Its totient is φ = 25600.

The previous prime is 70393. The next prime is 70423. The reversal of 70400 is 407.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

70400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6395 + ... + 6405.

2⁷⁰⁴⁰⁰ 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 70400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95046).

70400 is an abundant number, since it is smaller than the sum of its proper divisors (119692).

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

70400 is a wasteful number, since it uses less digits than its factorization.

70400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 70400 is about 265.3299832284. The cubic root of 70400 is about 41.2912046183.

Multiplying 70400 by its sum of digits (11), we get a square (774400 = 880²).

70400 divided by its sum of digits (11) gives a square (6400 = 80²).

Adding to 70400 its reverse (407), we get a palindrome (70807).

The spelling of 70400 in words is "seventy thousand, four hundred", and thus it is an iban number.