273778560 has 384 divisors, whose sum is σ = 1074060000. Its totient is φ = 63651840.

The previous prime is 273778541. The next prime is 273778567. The reversal of 273778560 is 65877372.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273778567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837366 + ... + 1837514.

Almost surely, 2^273778560 is an apocalyptic number.

273778560 is a gapful number since it is divisible by the number (20) 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 273778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537030000).

273778560 is an abundant number, since it is smaller than the sum of its proper divisors (800281440).

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

273778560 is a wasteful number, since it uses less digits than its factorization.

273778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 273778560 is about 16546.2551654445. The cubic root of 273778560 is about 649.3315099683.

It can be divided in two parts, 27377 and 8560, that added together give a cube (35937 = 33³).

The spelling of 273778560 in words is "two hundred seventy-three million, seven hundred seventy-eight thousand, five hundred sixty".