1778874048 has 420 divisors, whose sum is σ = 6306616800. Its totient is φ = 494097408.

The previous prime is 1778874029. The next prime is 1778874091. The reversal of 1778874048 is 8404788771.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1778873985 and 1778874003.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11938678 + ... + 11938826.

Almost surely, 2^1778874048 is an apocalyptic number.

1778874048 is a gapful number since it is divisible by the number (18) 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 1778874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153308400).

1778874048 is an abundant number, since it is smaller than the sum of its proper divisors (4527742752).

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

1778874048 is a wasteful number, since it uses less digits than its factorization.

1778874048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The square root of 1778874048 is about 42176.7002976762. The cubic root of 1778874048 is about 1211.6626842883.

It can be divided in two parts, 1778 and 874048, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 1778874048 in words is "one billion, seven hundred seventy-eight million, eight hundred seventy-four thousand, forty-eight".