1006778770200 has 768 divisors, whose sum is σ = 4217944320000. Its totient is φ = 215468605440.

The previous prime is 1006778770181. The next prime is 1006778770223. The reversal of 1006778770200 is 20778776001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127873464 + ... + 127881336.

It is an arithmetic number, because the mean of its divisors is an integer number (5492115000).

Almost surely, 2^{1006778770200} is an apocalyptic number.

1006778770200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006778770200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108972160000).

1006778770200 is an abundant number, since it is smaller than the sum of its proper divisors (3211165549800).

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

1006778770200 is a wasteful number, since it uses less digits than its factorization.

1006778770200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 1006778770200 in words is "one trillion, six billion, seven hundred seventy-eight million, seven hundred seventy thousand, two hundred".