1200777776 has 80 divisors (see below), whose sum is σ = 2582647200. Its totient is φ = 536309760.

The previous prime is 1200777769. The next prime is 1200777793. The reversal of 1200777776 is 6777770021.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440450 + ... + 3440798.

It is an arithmetic number, because the mean of its divisors is an integer number (32283090).

Almost surely, 2^1200777776 is an apocalyptic number.

1200777776 is a gapful number since it is divisible by the number (16) 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 1200777776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291323600).

1200777776 is an abundant number, since it is smaller than the sum of its proper divisors (1381869424).

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

1200777776 is a wasteful number, since it uses less digits than its factorization.

1200777776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 201684, while the sum is 44.

The square root of 1200777776 is about 34652.2405624802. The cubic root of 1200777776 is about 1062.8881058018. Note that the first 3 decimals are identical.

The spelling of 1200777776 in words is "one billion, two hundred million, seven hundred seventy-seven thousand, seven hundred seventy-six".