1779978400 has 72 divisors (see below), whose sum is σ = 4376907360. Its totient is φ = 706824960.

The previous prime is 1779978397. The next prime is 1779978413. The reversal of 1779978400 is 48799771.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103197 + ... + 119203.

It is an arithmetic number, because the mean of its divisors is an integer number (60790380).

Almost surely, 2^1779978400 is an apocalyptic number.

1779978400 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 1779978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188453680).

1779978400 is an abundant number, since it is smaller than the sum of its proper divisors (2596928960).

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

1779978400 is a wasteful number, since it uses less digits than its factorization.

1779978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16166 (or 16153 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 52.

The square root of 1779978400 is about 42189.7902341313. The cubic root of 1779978400 is about 1211.9133719449.

The spelling of 1779978400 in words is "one billion, seven hundred seventy-nine million, nine hundred seventy-eight thousand, four hundred".