78206040 has 256 divisors, whose sum is σ = 295488000. Its totient is φ = 18224640.

The previous prime is 78206027. The next prime is 78206041. The reversal of 78206040 is 4060287.

It is a super-2 number, since 2×78206040² = 12232369384963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 78205995 and 78206013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78206041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344407 + ... + 344633.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^78206040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

78206040 is an abundant number, since it is smaller than the sum of its proper divisors (217281960).

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

78206040 is a wasteful number, since it uses less digits than its factorization.

78206040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78206040 is about 8843.4178912907. The cubic root of 78206040 is about 427.6417504693.

Subtracting from 78206040 its reverse (4060287), we obtain a triangular number (74145753 = T₁₂₁₇₇).

The spelling of 78206040 in words is "seventy-eight million, two hundred six thousand, forty".