1077616800 has 432 divisors, whose sum is σ = 4244025240. Its totient is φ = 255467520.

The previous prime is 1077616783. The next prime is 1077616807. The reversal of 1077616800 is 86167701.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 25522704 + 1052094096 = 5052^2 + 32436^2 .

It is a super-2 number, since 2×1077616800² = 2322515935284480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1077616807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2714202 + ... + 2714598.

Almost surely, 2^1077616800 is an apocalyptic number.

1077616800 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 1077616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122012620).

1077616800 is an abundant number, since it is smaller than the sum of its proper divisors (3166408440).

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

1077616800 is a wasteful number, since it uses less digits than its factorization.

1077616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1077616800 is about 32827.0741918923. The cubic root of 1077616800 is about 1025.2303428388.

The spelling of 1077616800 in words is "one billion, seventy-seven million, six hundred sixteen thousand, eight hundred".