1500158880 has 480 divisors, whose sum is σ = 6125232960. Its totient is φ = 341729280.

The previous prime is 1500158879. The next prime is 1500158899. The reversal of 1500158880 is 888510051.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2423211 + ... + 2423829.

It is an arithmetic number, because the mean of its divisors is an integer number (12760902).

Almost surely, 2^1500158880 is an apocalyptic number.

1500158880 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 1500158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062616480).

1500158880 is an abundant number, since it is smaller than the sum of its proper divisors (4625074080).

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

1500158880 is a wasteful number, since it uses less digits than its factorization.

1500158880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 1500158880 is about 38731.8845397432. The cubic root of 1500158880 is about 1144.7546571707.

The spelling of 1500158880 in words is "one billion, five hundred million, one hundred fifty-eight thousand, eight hundred eighty".