736878168 has 128 divisors (see below), whose sum is σ = 2280600000. Its totient is φ = 218889216.

The previous prime is 736878167. The next prime is 736878169. The reversal of 736878168 is 861878637.

It is an interprime number because it is at equal distance from previous prime (736878167) and next prime (736878169).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736878161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76908 + ... + 85956.

Almost surely, 2^736878168 is an apocalyptic number.

736878168 is a gapful number since it is divisible by the number (78) 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 736878168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140300000).

736878168 is an abundant number, since it is smaller than the sum of its proper divisors (1543721832).

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

736878168 is a wasteful number, since it uses less digits than its factorization.

736878168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9106 (or 9096 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 736878168 is about 27145.4999585567. The cubic root of 736878168 is about 903.2304353352.

The spelling of 736878168 in words is "seven hundred thirty-six million, eight hundred seventy-eight thousand, one hundred sixty-eight".