1036780740 has 288 divisors, whose sum is σ = 3459456000. Its totient is φ = 250629120.

The previous prime is 1036780739. The next prime is 1036780741. The reversal of 1036780740 is 470876301.

It is an interprime number because it is at equal distance from previous prime (1036780739) and next prime (1036780741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1036780695 and 1036780704.

It is not an unprimeable number, because it can be changed into a prime (1036780741) 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 95 ways as a sum of consecutive naturals, for example, 6958186 + ... + 6958334.

It is an arithmetic number, because the mean of its divisors is an integer number (12012000).

Almost surely, 2^1036780740 is an apocalyptic number.

1036780740 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 1036780740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728000).

1036780740 is an abundant number, since it is smaller than the sum of its proper divisors (2422675260).

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

1036780740 is a wasteful number, since it uses less digits than its factorization.

1036780740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1036780740 is about 32199.0798005160. The cubic root of 1036780740 is about 1012.1129311500.

It can be divided in two parts, 1036780 and 740, that added together give a triangular number (1037520 = T₁₄₄₀).

The spelling of 1036780740 in words is "one billion, thirty-six million, seven hundred eighty thousand, seven hundred forty".