1000777960 has 256 divisors, whose sum is σ = 2935296000. Its totient is φ = 304819200.

The previous prime is 1000777957. The next prime is 1000778027. The reversal of 1000777960 is 697770001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5529070 + ... + 5529250.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^1000777960 is an apocalyptic number.

1000777960 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 1000777960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648000).

1000777960 is an abundant number, since it is smaller than the sum of its proper divisors (1934518040).

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

1000777960 is a wasteful number, since it uses less digits than its factorization.

1000777960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 37.

The square root of 1000777960 is about 31635.0748379074. The cubic root of 1000777960 is about 1000.2592527822.

The spelling of 1000777960 in words is "one billion, seven hundred seventy-seven thousand, nine hundred sixty".