70105780800 has 672 divisors, whose sum is σ = 287848243200. Its totient is φ = 16443648000.

The previous prime is 70105780783. The next prime is 70105780883. The reversal of 70105780800 is 808750107.

70105780800 is a `hidden beast` number, since 7 + 0 + 1 + 0 + 578 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14728821 + ... + 14733579.

It is an arithmetic number, because the mean of its divisors is an integer number (428345600).

Almost surely, 2^70105780800 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 70105780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143924121600).

70105780800 is an abundant number, since it is smaller than the sum of its proper divisors (217742462400).

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

70105780800 is a wasteful number, since it uses less digits than its factorization.

70105780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 70105780800 in words is "seventy billion, one hundred five million, seven hundred eighty thousand, eight hundred".