1226767680 has 560 divisors, whose sum is σ = 4779751680. Its totient is φ = 297603072.

The previous prime is 1226767673. The next prime is 1226767693. The reversal of 1226767680 is 867676221.

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 79 ways as a sum of consecutive naturals, for example, 23146534 + ... + 23146586.

Almost surely, 2^1226767680 is an apocalyptic number.

1226767680 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 1226767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389875840).

1226767680 is an abundant number, since it is smaller than the sum of its proper divisors (3552984000).

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

1226767680 is a wasteful number, since it uses less digits than its factorization.

1226767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1226767680 is about 35025.2434681045. The cubic root of 1226767680 is about 1070.5018986425.

The spelling of 1226767680 in words is "one billion, two hundred twenty-six million, seven hundred sixty-seven thousand, six hundred eighty".