70876800 has 288 divisors, whose sum is σ = 266366880. Its totient is φ = 17909760.

The previous prime is 70876789. The next prime is 70876843. The reversal of 70876800 is 867807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662347 + ... + 662453.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 2^70876800 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 70876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

70876800 is an abundant number, since it is smaller than the sum of its proper divisors (195490080).

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

70876800 is a wasteful number, since it uses less digits than its factorization.

70876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 70876800 is about 8418.8360240594. The cubic root of 70876800 is about 413.8421298233.

The spelling of 70876800 in words is "seventy million, eight hundred seventy-six thousand, eight hundred".