1782478152 has 288 divisors, whose sum is σ = 6330804480. Its totient is φ = 442091520.

The previous prime is 1782478129. The next prime is 1782478163. The reversal of 1782478152 is 2518742871.

1782478152 is a `hidden beast` number, since 178 + 2 + 478 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1782478098 and 1782478107.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1447377 + ... + 1448607.

It is an arithmetic number, because the mean of its divisors is an integer number (21981960).

Almost surely, 2^1782478152 is an apocalyptic number.

1782478152 is a gapful number since it is divisible by the number (12) 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 1782478152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165402240).

1782478152 is an abundant number, since it is smaller than the sum of its proper divisors (4548326328).

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

1782478152 is a wasteful number, since it uses less digits than its factorization.

1782478152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1273 counting only the distinct ones).

The product of its digits is 250880, while the sum is 45.

The square root of 1782478152 is about 42219.4049223814. The cubic root of 1782478152 is about 1212.4804323480.

The spelling of 1782478152 in words is "one billion, seven hundred eighty-two million, four hundred seventy-eight thousand, one hundred fifty-two".