1097764800 has 336 divisors, whose sum is σ = 4163519232. Its totient is φ = 250265600.

The previous prime is 1097764771. The next prime is 1097764823. The reversal of 1097764800 is 84677901.

It is a super-2 number, since 2×1097764800² = 2410175112238080000, which contains 22 as substring.

It is a congruent number.

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, 896989 + ... + 898211.

Almost surely, 2^1097764800 is an apocalyptic number.

1097764800 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 1097764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081759616).

1097764800 is an abundant number, since it is smaller than the sum of its proper divisors (3065754432).

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

1097764800 is a wasteful number, since it uses less digits than its factorization.

1097764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 1097764800 is about 33132.5338602408. The cubic root of 1097764800 is about 1031.5804435995.

The spelling of 1097764800 in words is "one billion, ninety-seven million, seven hundred sixty-four thousand, eight hundred".