1129978080 has 768 divisors, whose sum is σ = 5109350400. Its totient is φ = 226437120.

The previous prime is 1129978043. The next prime is 1129978099. The reversal of 1129978080 is 808799211.

It is a super-2 number, since 2×1129978080² = 2553700922560972800, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 14303481 + ... + 14303559.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2^1129978080 is an apocalyptic number.

1129978080 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 1129978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554675200).

1129978080 is an abundant number, since it is smaller than the sum of its proper divisors (3979372320).

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

1129978080 is a wasteful number, since it uses less digits than its factorization.

1129978080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1129978080 is about 33615.1465860258. The cubic root of 1129978080 is about 1041.5737023240.

The spelling of 1129978080 in words is "one billion, one hundred twenty-nine million, nine hundred seventy-eight thousand, eighty".