1029777056 has 96 divisors (see below), whose sum is σ = 2542700160. Its totient is φ = 398822400.

The previous prime is 1029777053. The next prime is 1029777083. The reversal of 1029777056 is 6507779201.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1029776998 and 1029777016.

It is not an unprimeable number, because it can be changed into a prime (1029777053) 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 15 ways as a sum of consecutive naturals, for example, 444830 + ... + 447138.

It is an arithmetic number, because the mean of its divisors is an integer number (26486460).

Almost surely, 2^1029777056 is an apocalyptic number.

1029777056 is a gapful number since it is divisible by the number (16) 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 1029777056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271350080).

1029777056 is an abundant number, since it is smaller than the sum of its proper divisors (1512923104).

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

1029777056 is a wasteful number, since it uses less digits than its factorization.

1029777056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 44.

The square root of 1029777056 is about 32090.1395447262. The cubic root of 1029777056 is about 1009.8287642258.

The spelling of 1029777056 in words is "one billion, twenty-nine million, seven hundred seventy-seven thousand, fifty-six".