1545400080 has 320 divisors, whose sum is σ = 6128179200. Its totient is φ = 350645760.

The previous prime is 1545400069. The next prime is 1545400097. The reversal of 1545400080 is 800045451.

1545400080 is a `hidden beast` number, since 1 + 545 + 40 + 0 + 0 + 80 = 666.

It is a super-2 number, since 2×1545400080² = 4776522814528012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2706195 + ... + 2706765.

It is an arithmetic number, because the mean of its divisors is an integer number (19150560).

Almost surely, 2^1545400080 is an apocalyptic number.

1545400080 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 1545400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064089600).

1545400080 is an abundant number, since it is smaller than the sum of its proper divisors (4582779120).

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

1545400080 is a wasteful number, since it uses less digits than its factorization.

1545400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1545400080 is about 39311.5769208003. The cubic root of 1545400080 is about 1156.1485623015.

The spelling of 1545400080 in words is "one billion, five hundred forty-five million, four hundred thousand, eighty".