1520398080 has 576 divisors, whose sum is σ = 5872003200. Its totient is φ = 371589120.

The previous prime is 1520398057. The next prime is 1520398091. The reversal of 1520398080 is 808930251.

1520398080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1520398080² = 4623220643335372800, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37082860 + ... + 37082900.

It is an arithmetic number, because the mean of its divisors is an integer number (10194450).

Almost surely, 2^1520398080 is an apocalyptic number.

1520398080 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 1520398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936001600).

1520398080 is an abundant number, since it is smaller than the sum of its proper divisors (4351605120).

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

1520398080 is a wasteful number, since it uses less digits than its factorization.

1520398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1520398080 is about 38992.2823132989. The cubic root of 1520398080 is about 1149.8797807536.

The spelling of 1520398080 in words is "one billion, five hundred twenty million, three hundred ninety-eight thousand, eighty".