1010400760 has 16 divisors (see below), whose sum is σ = 2273401800. Its totient is φ = 404160288.

The previous prime is 1010400731. The next prime is 1010400793. The reversal of 1010400760 is 670040101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12629970 + ... + 12630049.

Almost surely, 2^1010400760 is an apocalyptic number.

1010400760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010400760 is an abundant number, since it is smaller than the sum of its proper divisors (1263001040).

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

1010400760 is a wasteful number, since it uses less digits than its factorization.

1010400760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25260030 (or 25260026 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1010400760 is about 31786.8016635836. The cubic root of 1010400760 is about 1003.4549694391.

Adding to 1010400760 its reverse (670040101), we get a palindrome (1680440861).

The spelling of 1010400760 in words is "one billion, ten million, four hundred thousand, seven hundred sixty".