1778100480 has 432 divisors, whose sum is σ = 6856851456. Its totient is φ = 422461440.

The previous prime is 1778100463. The next prime is 1778100487. The reversal of 1778100480 is 840018771.

1778100480 is a `hidden beast` number, since 1 + 7 + 78 + 100 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1778100487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4642369 + ... + 4642751.

Almost surely, 2^1778100480 is an apocalyptic number.

1778100480 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 1778100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428425728).

1778100480 is an abundant number, since it is smaller than the sum of its proper divisors (5078750976).

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

1778100480 is a wasteful number, since it uses less digits than its factorization.

1778100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1778100480 is about 42167.5287395408. The cubic root of 1778100480 is about 1211.4870227268.

The spelling of 1778100480 in words is "one billion, seven hundred seventy-eight million, one hundred thousand, four hundred eighty".