78256620 has 144 divisors (see below), whose sum is σ = 260874432. Its totient is φ = 18869760.

The previous prime is 78256613. The next prime is 78256631. The reversal of 78256620 is 2665287.

78256620 is a `hidden beast` number, since 7 + 8 + 25 + 6 + 620 = 666.

It is a super-2 number, since 2×78256620² = 12248197147648800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 123705 + ... + 124335.

It is an arithmetic number, because the mean of its divisors is an integer number (1811628).

Almost surely, 2^78256620 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 78256620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130437216).

78256620 is an abundant number, since it is smaller than the sum of its proper divisors (182617812).

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

78256620 is a wasteful number, since it uses less digits than its factorization.

78256620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78256620 is about 8846.2771830867. The cubic root of 78256620 is about 427.7339234792.

The spelling of 78256620 in words is "seventy-eight million, two hundred fifty-six thousand, six hundred twenty".