1005764778 has 48 divisors (see below), whose sum is σ = 2314934856. Its totient is φ = 314496000.

The previous prime is 1005764777. The next prime is 1005764779. The reversal of 1005764778 is 8774675001.

1005764778 is a `hidden beast` number, since 1 + 0 + 0 + 576 + 4 + 7 + 78 = 666.

It is an interprime number because it is at equal distance from previous prime (1005764777) and next prime (1005764779).

It can be written as a sum of positive squares in 4 ways, for example, as 584817489 + 420947289 = 24183^2 + 20517^2 .

It is not an unprimeable number, because it can be changed into a prime (1005764777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90528 + ... + 101028.

Almost surely, 2^1005764778 is an apocalyptic number.

1005764778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005764778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157467428).

1005764778 is an abundant number, since it is smaller than the sum of its proper divisors (1309170078).

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

1005764778 is a wasteful number, since it uses less digits than its factorization.

1005764778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10839 (or 10836 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1005764778 is about 31713.7947587481. The cubic root of 1005764778 is about 1001.9179119289.

The spelling of 1005764778 in words is "one billion, five million, seven hundred sixty-four thousand, seven hundred seventy-eight".