70678800 has 180 divisors, whose sum is σ = 254107620. Its totient is φ = 18170880.

The previous prime is 70678763. The next prime is 70678801. The reversal of 70678800 is 887607.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3504384 + 67174416 = 1872^2 + 8196^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (70678801) 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 35 ways as a sum of consecutive naturals, for example, 104062 + ... + 104738.

It is an arithmetic number, because the mean of its divisors is an integer number (1411709).

Almost surely, 2^70678800 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 70678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127053810).

70678800 is an abundant number, since it is smaller than the sum of its proper divisors (183428820).

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

70678800 is a wasteful number, since it uses less digits than its factorization.

70678800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

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

The square root of 70678800 is about 8407.0684545803. The cubic root of 70678800 is about 413.4564034031.

The spelling of 70678800 in words is "seventy million, six hundred seventy-eight thousand, eight hundred".