78976820 has 48 divisors (see below), whose sum is σ = 180668880. Its totient is φ = 28824576.

The previous prime is 78976819. The next prime is 78976823. The reversal of 78976820 is 2867987.

It can be written as a sum of positive squares in 8 ways, for example, as 1993744 + 76983076 = 1412^2 + 8774^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78976823) 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 15 ways as a sum of consecutive naturals, for example, 21434 + ... + 24846.

It is an arithmetic number, because the mean of its divisors is an integer number (3763935).

Almost surely, 2^78976820 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 78976820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90334440).

78976820 is an abundant number, since it is smaller than the sum of its proper divisors (101692060).

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

78976820 is a wasteful number, since it uses less digits than its factorization.

78976820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 78976820 is about 8886.8903447719. The cubic root of 78976820 is about 429.0420716433.

The spelling of 78976820 in words is "seventy-eight million, nine hundred seventy-six thousand, eight hundred twenty".