1077629904 has 120 divisors (see below), whose sum is σ = 3301450152. Its totient is φ = 326108160.

The previous prime is 1077629899. The next prime is 1077629909. The reversal of 1077629904 is 4099267701.

1077629904 is a `hidden beast` number, since 10 + 7 + 7 + 629 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1077629899) and next prime (1077629909).

It can be written as a sum of positive squares in 4 ways, for example, as 5198400 + 1072431504 = 2280^2 + 32748^2 .

It is a super-2 number, since 2×1077629904² = 2322572419990098432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1077629904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077629909) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 109474 + ... + 118910.

Almost surely, 2^1077629904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077629904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650725076).

1077629904 is an abundant number, since it is smaller than the sum of its proper divisors (2223820248).

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

1077629904 is a wasteful number, since it uses less digits than its factorization.

1077629904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1077629904 is about 32827.2737826339. The cubic root of 1077629904 is about 1025.2344984792.

The spelling of 1077629904 in words is "one billion, seventy-seven million, six hundred twenty-nine thousand, nine hundred four".