49767760 has 80 divisors (see below), whose sum is σ = 133241472. Its totient is φ = 16934400.

The previous prime is 49767743. The next prime is 49767761. The reversal of 49767760 is 6776794.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×49767760³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49767760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49767761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101115 + ... + 101605.

Almost surely, 2^49767760 is an apocalyptic number.

49767760 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 49767760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66620736).

49767760 is an abundant number, since it is smaller than the sum of its proper divisors (83473712).

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

49767760 is a wasteful number, since it uses less digits than its factorization.

49767760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The square root of 49767760 is about 7054.6268505145. The cubic root of 49767760 is about 367.8318781512.

The spelling of 49767760 in words is "forty-nine million, seven hundred sixty-seven thousand, seven hundred sixty".