71078400 has 180 divisors, whose sum is σ = 254782242. Its totient is φ = 18923520.

The previous prime is 71078389. The next prime is 71078401. The reversal of 71078400 is 487017.

It can be written as a sum of positive squares in 3 ways, for example, as 31539456 + 39538944 = 5616^2 + 6288^2 .

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

It is not an unprimeable number, because it can be changed into a prime (71078401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114892 + ... + 115508.

Almost surely, 2^71078400 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 71078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127391121).

71078400 is an abundant number, since it is smaller than the sum of its proper divisors (183703842).

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

71078400 is a wasteful number, since it uses less digits than its factorization.

71078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 71078400 is about 8430.8006737201. The cubic root of 71078400 is about 414.2341320751.

The spelling of 71078400 in words is "seventy-one million, seventy-eight thousand, four hundred".