997777800 has 144 divisors (see below), whose sum is σ = 3373980480. Its totient is φ = 264240000.

The previous prime is 997777783. The next prime is 997777813. The reversal of 997777800 is 8777799.

997777800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269965 + ... + 273635.

It is an arithmetic number, because the mean of its divisors is an integer number (23430420).

Almost surely, 2^997777800 is an apocalyptic number.

997777800 is a gapful number since it is divisible by the number (90) 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 997777800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686990240).

997777800 is an abundant number, since it is smaller than the sum of its proper divisors (2376202680).

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

997777800 is a wasteful number, since it uses less digits than its factorization.

997777800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 54.

The square root of 997777800 is about 31587.6209930409. The cubic root of 997777800 is about 999.2587173024.

The spelling of 997777800 in words is "nine hundred ninety-seven million, seven hundred seventy-seven thousand, eight hundred".