1076796864 has 336 divisors, whose sum is σ = 3844320480. Its totient is φ = 283115520.

The previous prime is 1076796859. The next prime is 1076796869. The reversal of 1076796864 is 4686976701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1076796859) and next prime (1076796869).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1076796864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076796869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1399872 + ... + 1400640.

It is an arithmetic number, because the mean of its divisors is an integer number (11441430).

Almost surely, 2^1076796864 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 1076796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922160240).

1076796864 is an abundant number, since it is smaller than the sum of its proper divisors (2767523616).

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

1076796864 is a wasteful number, since it uses less digits than its factorization.

1076796864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 1076796864 is about 32814.5830995916. The cubic root of 1076796864 is about 1024.9702514467.

The spelling of 1076796864 in words is "one billion, seventy-six million, seven hundred ninety-six thousand, eight hundred sixty-four".