47779680 has 288 divisors, whose sum is σ = 177085440. Its totient is φ = 10782720.

The previous prime is 47779657. The next prime is 47779687. The reversal of 47779680 is 8697774.

47779680 = 311² + 312² + ... + 557².

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47779687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1541265 + ... + 1541295.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 2^47779680 is an apocalyptic number.

47779680 is a gapful number since it is divisible by the number (40) 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 47779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88542720).

47779680 is an abundant number, since it is smaller than the sum of its proper divisors (129305760).

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

47779680 is a wasteful number, since it uses less digits than its factorization.

47779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 47779680 is about 6912.2847163583. The cubic root of 47779680 is about 362.8672267495.

The spelling of 47779680 in words is "forty-seven million, seven hundred seventy-nine thousand, six hundred eighty".