1023407720 has 32 divisors (see below), whose sum is σ = 2306252520. Its totient is φ = 408725760.

The previous prime is 1023407719. The next prime is 1023407729. The reversal of 1023407720 is 277043201.

It can be written as a sum of positive squares in 4 ways, for example, as 879359716 + 144048004 = 29654^2 + 12002^2 .

It is a super-3 number, since 3×1023407720³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1023407720.

It is not an unprimeable number, because it can be changed into a prime (1023407729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6530 + ... + 45710.

Almost surely, 2^1023407720 is an apocalyptic number.

1023407720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023407720 is an abundant number, since it is smaller than the sum of its proper divisors (1282844800).

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

1023407720 is a wasteful number, since it uses less digits than its factorization.

1023407720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39845 (or 39841 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 1023407720 is about 31990.7442864338. The cubic root of 1023407720 is about 1007.7424727394.

The spelling of 1023407720 in words is "one billion, twenty-three million, four hundred seven thousand, seven hundred twenty".