1077296220 has 384 divisors, whose sum is σ = 4502292480. Its totient is φ = 206530560.

The previous prime is 1077296201. The next prime is 1077296249. The reversal of 1077296220 is 226927701.

1077296220 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 29 + 622 + 0 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 539544 + ... + 541536.

It is an arithmetic number, because the mean of its divisors is an integer number (11724720).

Almost surely, 2^1077296220 is an apocalyptic number.

1077296220 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 1077296220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251146240).

1077296220 is an abundant number, since it is smaller than the sum of its proper divisors (3424996260).

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

1077296220 is a wasteful number, since it uses less digits than its factorization.

1077296220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1077296220 is about 32822.1909689161. The cubic root of 1077296220 is about 1025.1286675678.

The spelling of 1077296220 in words is "one billion, seventy-seven million, two hundred ninety-six thousand, two hundred twenty".