1506798720 has 256 divisors, whose sum is σ = 6099436800. Its totient is φ = 344383488.

The previous prime is 1506798719. The next prime is 1506798721. The reversal of 1506798720 is 278976051.

1506798720 is a `hidden beast` number, since 1 + 506 + 79 + 8 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1506798719) and next prime (1506798721).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1506798721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114732 + ... + 127188.

It is an arithmetic number, because the mean of its divisors is an integer number (23825925).

Almost surely, 2^1506798720 is an apocalyptic number.

1506798720 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 1506798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049718400).

1506798720 is an abundant number, since it is smaller than the sum of its proper divisors (4592638080).

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

1506798720 is a wasteful number, since it uses less digits than its factorization.

1506798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12492 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1506798720 is about 38817.5053294258. The cubic root of 1506798720 is about 1146.4411009948.

The spelling of 1506798720 in words is "one billion, five hundred six million, seven hundred ninety-eight thousand, seven hundred twenty".