1077629920 has 48 divisors (see below), whose sum is σ = 2593956960. Its totient is φ = 422915584.

The previous prime is 1077629909. The next prime is 1077629929. The reversal of 1077629920 is 299267701.

It is a super-2 number, since 2×1077629920² = 2322572488958412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077629929) 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 7 ways as a sum of consecutive naturals, for example, 55060 + ... + 72019.

It is an arithmetic number, because the mean of its divisors is an integer number (54040770).

Almost surely, 2^1077629920 is an apocalyptic number.

1077629920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077629920 is an abundant number, since it is smaller than the sum of its proper divisors (1516327040).

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

1077629920 is a wasteful number, since it uses less digits than its factorization.

1077629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127147 (or 127139 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The square root of 1077629920 is about 32827.2740263337. The cubic root of 1077629920 is about 1025.2345035533.

The spelling of 1077629920 in words is "one billion, seventy-seven million, six hundred twenty-nine thousand, nine hundred twenty".