71378800 has 30 divisors (see below), whose sum is σ = 171488528. Its totient is φ = 28551360.

The previous prime is 71378789. The next prime is 71378803. The reversal of 71378800 is 887317.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71378803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88824 + ... + 89623.

Almost surely, 2^71378800 is an apocalyptic number.

It is an amenable number.

71378800 is an abundant number, since it is smaller than the sum of its proper divisors (100109728).

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

71378800 is a wasteful number, since it uses less digits than its factorization.

71378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178465 (or 178454 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 71378800 is about 8448.5975167480. The cubic root of 71378800 is about 414.8168737694.

The spelling of 71378800 in words is "seventy-one million, three hundred seventy-eight thousand, eight hundred".