920038770 has 256 divisors, whose sum is σ = 2972712960. Its totient is φ = 198028800.

The previous prime is 920038753. The next prime is 920038789. The reversal of 920038770 is 77830029.

920038770 is a `hidden beast` number, since 9 + 200 + 387 + 70 = 666.

It is a super-2 number, since 2×920038770² = 1692942676606225800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2401999 + ... + 2402381.

It is an arithmetic number, because the mean of its divisors is an integer number (11612160).

Almost surely, 2^920038770 is an apocalyptic number.

920038770 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 920038770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486356480).

920038770 is an abundant number, since it is smaller than the sum of its proper divisors (2052674190).

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

920038770 is a wasteful number, since it uses less digits than its factorization.

920038770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 920038770 is about 30332.1408739970. The cubic root of 920038770 is about 972.6024880809.

Adding to 920038770 its reverse (77830029), we get a palindrome (997868799).

The spelling of 920038770 in words is "nine hundred twenty million, thirty-eight thousand, seven hundred seventy".