1220778000 has 640 divisors, whose sum is σ = 4939683840. Its totient is φ = 286156800.

The previous prime is 1220777959. The next prime is 1220778059. The reversal of 1220778000 is 8770221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25973977 + ... + 25974023.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^1220778000 is an apocalyptic number.

1220778000 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 1220778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469841920).

1220778000 is an abundant number, since it is smaller than the sum of its proper divisors (3718905840).

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

1220778000 is a wasteful number, since it uses less digits than its factorization.

1220778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1220778000 is about 34939.6336557784. The cubic root of 1220778000 is about 1068.7568174388.

The spelling of 1220778000 in words is "one billion, two hundred twenty million, seven hundred seventy-eight thousand".