1978099200 has 720 divisors, whose sum is σ = 8865432576. Its totient is φ = 409190400.

The previous prime is 1978099183. The next prime is 1978099213. The reversal of 1978099200 is 29908791.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8870289 + ... + 8870511.

Almost surely, 2^1978099200 is an apocalyptic number.

1978099200 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 1978099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432716288).

1978099200 is an abundant number, since it is smaller than the sum of its proper divisors (6887333376).

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

1978099200 is a wasteful number, since it uses less digits than its factorization.

1978099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1978099200 is about 44475.8271423928. The cubic root of 1978099200 is about 1255.3052806754.

The spelling of 1978099200 in words is "one billion, nine hundred seventy-eight million, ninety-nine thousand, two hundred".