47077680 has 160 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 11381760.

The previous prime is 47077673. The next prime is 47077697. The reversal of 47077680 is 8677074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246385 + ... + 246575.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 2^47077680 is an apocalyptic number.

47077680 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 47077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

47077680 is an abundant number, since it is smaller than the sum of its proper divisors (112912080).

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

47077680 is a wasteful number, since it uses less digits than its factorization.

47077680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 47077680 is about 6861.3176577098. The cubic root of 47077680 is about 361.0813167441.

The spelling of 47077680 in words is "forty-seven million, seventy-seven thousand, six hundred eighty".