1978834000 has 480 divisors, whose sum is σ = 6159168288. Its totient is φ = 608256000.

The previous prime is 1978833979. The next prime is 1978834001. The reversal of 1978834000 is 4388791.

It can be written as a sum of positive squares in 16 ways, for example, as 1054430784 + 924403216 = 32472^2 + 30404^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978834001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53481982 + ... + 53482018.

Almost surely, 2^1978834000 is an apocalyptic number.

1978834000 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 1978834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079584144).

1978834000 is an abundant number, since it is smaller than the sum of its proper divisors (4180334288).

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

1978834000 is a wasteful number, since it uses less digits than its factorization.

1978834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1978834000 is about 44484.0870424470. The cubic root of 1978834000 is about 1255.4606965633.

The spelling of 1978834000 in words is "one billion, nine hundred seventy-eight million, eight hundred thirty-four thousand".