78363792 has 120 divisors (see below), whose sum is σ = 242177208. Its totient is φ = 23500800.

The previous prime is 78363787. The next prime is 78363797. The reversal of 78363792 is 29736387.

It is a happy number.

78363792 is a `hidden beast` number, since 7 + 8 + 3 + 637 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (78363787) and next prime (78363797).

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 78216336 = 384^2 + 8844^2 .

It is a super-2 number, since 2×78363792² = 12281767793238528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78363797) 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 23 ways as a sum of consecutive naturals, for example, 76242 + ... + 77262.

Almost surely, 2^78363792 is an apocalyptic number.

78363792 is a gapful number since it is divisible by the number (72) 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 78363792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121088604).

78363792 is an abundant number, since it is smaller than the sum of its proper divisors (163813416).

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

78363792 is a wasteful number, since it uses less digits than its factorization.

78363792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 78363792 is about 8852.3325739604. The cubic root of 78363792 is about 427.9290941437.

It can be divided in two parts, 7836 and 3792, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 78363792 in words is "seventy-eight million, three hundred sixty-three thousand, seven hundred ninety-two".