1007780368 has 80 divisors (see below), whose sum is σ = 2356813440. Its totient is φ = 407808000.

The previous prime is 1007780353. The next prime is 1007780381. The reversal of 1007780368 is 8630877001.

It is a self number, because there is not a number n which added to its sum of digits gives 1007780368.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852738 + ... + 853918.

It is an arithmetic number, because the mean of its divisors is an integer number (29460168).

Almost surely, 2^1007780368 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 1007780368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178406720).

1007780368 is an abundant number, since it is smaller than the sum of its proper divisors (1349033072).

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

1007780368 is a wasteful number, since it uses less digits than its factorization.

1007780368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 1007780368 is about 31745.5566654611. The cubic root of 1007780368 is about 1002.5867589087.

The spelling of 1007780368 in words is "one billion, seven million, seven hundred eighty thousand, three hundred sixty-eight".