78262128 has 60 divisors (see below), whose sum is σ = 250317808. Its totient is φ = 22360320.

The previous prime is 78262127. The next prime is 78262139. The reversal of 78262128 is 82126287.

It is a happy number.

78262128 is a `hidden beast` number, since 7 + 8 + 2 + 621 + 28 = 666.

It is a super-2 number, since 2×78262128² = 12249921358176768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 78262092 and 78262101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78262127) 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 11 ways as a sum of consecutive naturals, for example, 37813 + ... + 39828.

Almost surely, 2^78262128 is an apocalyptic number.

It is an amenable number.

78262128 is an abundant number, since it is smaller than the sum of its proper divisors (172055680).

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

78262128 is a wasteful number, since it uses less digits than its factorization.

78262128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77662 (or 77653 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 78262128 is about 8846.5884950076. The cubic root of 78262128 is about 427.7439584266.

The spelling of 78262128 in words is "seventy-eight million, two hundred sixty-two thousand, one hundred twenty-eight".