1978767360 has 384 divisors, whose sum is σ = 7465348800. Its totient is φ = 495452160.

The previous prime is 1978767337. The next prime is 1978767367. The reversal of 1978767360 is 637678791.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 1978767297 and 1978767306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978767367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699950 + ... + 4700370.

Almost surely, 2^1978767360 is an apocalyptic number.

1978767360 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 1978767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732674400).

1978767360 is an abundant number, since it is smaller than the sum of its proper divisors (5486581440).

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

1978767360 is a wasteful number, since it uses less digits than its factorization.

1978767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 1978767360 is about 44483.3380042460. The cubic root of 1978767360 is about 1255.4466032740.

The spelling of 1978767360 in words is "one billion, nine hundred seventy-eight million, seven hundred sixty-seven thousand, three hundred sixty".