1978173120 has 336 divisors, whose sum is σ = 7972397568. Its totient is φ = 410941440.

The previous prime is 1978173107. The next prime is 1978173133. The reversal of 1978173120 is 213718791.

It is an interprime number because it is at equal distance from previous prime (1978173107) and next prime (1978173133).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515529 + ... + 519351.

Almost surely, 2^1978173120 is an apocalyptic number.

1978173120 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 1978173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986198784).

1978173120 is an abundant number, since it is smaller than the sum of its proper divisors (5994224448).

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

1978173120 is a wasteful number, since it uses less digits than its factorization.

1978173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 1978173120 is about 44476.6581478420. The cubic root of 1978173120 is about 1255.3209170686.

The spelling of 1978173120 in words is "one billion, nine hundred seventy-eight million, one hundred seventy-three thousand, one hundred twenty".