76847680 has 252 divisors, whose sum is σ = 238452660. Its totient is φ = 23482368.

The previous prime is 76847663. The next prime is 76847689. The reversal of 76847680 is 8674867.

It can be written as a sum of positive squares in 6 ways, for example, as 14500864 + 62346816 = 3808^2 + 7896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76847680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76847689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2649906 + ... + 2649934.

Almost surely, 2^76847680 is an apocalyptic number.

76847680 is a gapful number since it is divisible by the number (70) 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 76847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119226330).

76847680 is an abundant number, since it is smaller than the sum of its proper divisors (161604980).

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

76847680 is a wasteful number, since it uses less digits than its factorization.

76847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 76847680 is about 8766.2808533608. The cubic root of 76847680 is about 425.1513739904.

Adding to 76847680 its product of nonzero digits (451584), we get a square (77299264 = 8792²).

The spelling of 76847680 in words is "seventy-six million, eight hundred forty-seven thousand, six hundred eighty".