1007800920 has 256 divisors, whose sum is σ = 3877632000. Its totient is φ = 228054528.

The previous prime is 1007800903. The next prime is 1007800939. The reversal of 1007800920 is 290087001.

It is a super-3 number, since 3×1007800920³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 823429 + ... + 824651.

It is an arithmetic number, because the mean of its divisors is an integer number (15147000).

Almost surely, 2^1007800920 is an apocalyptic number.

1007800920 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 1007800920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938816000).

1007800920 is an abundant number, since it is smaller than the sum of its proper divisors (2869831080).

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

1007800920 is a wasteful number, since it uses less digits than its factorization.

1007800920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1007800920 is about 31745.8803626549. The cubic root of 1007800920 is about 1002.5935742241.

Adding to 1007800920 its reverse (290087001), we get a palindrome (1297887921).

The spelling of 1007800920 in words is "one billion, seven million, eight hundred thousand, nine hundred twenty".