1007107780 has 72 divisors (see below), whose sum is σ = 2467074456. Its totient is φ = 344332800.

The previous prime is 1007107771. The next prime is 1007107799. The reversal of 1007107780 is 877017001.

1007107780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72216004 + 934891776 = 8498^2 + 30576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411360 + ... + 413800.

It is an arithmetic number, because the mean of its divisors is an integer number (34264923).

Almost surely, 2^1007107780 is an apocalyptic number.

1007107780 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 1007107780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233537228).

1007107780 is an abundant number, since it is smaller than the sum of its proper divisors (1459966676).

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

1007107780 is a wasteful number, since it uses less digits than its factorization.

1007107780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 31.

The square root of 1007107780 is about 31734.9614778402. The cubic root of 1007107780 is about 1002.3636686685.

The spelling of 1007107780 in words is "one billion, seven million, one hundred seven thousand, seven hundred eighty".