77441920 has 64 divisors (see below), whose sum is σ = 193220640. Its totient is φ = 29624320.

The previous prime is 77441911. The next prime is 77441921. The reversal of 77441920 is 2914477.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77441921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12090 + ... + 17350.

Almost surely, 2^77441920 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 77441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96610320).

77441920 is an abundant number, since it is smaller than the sum of its proper divisors (115778720).

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

77441920 is a wasteful number, since it uses less digits than its factorization.

77441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 77441920 is about 8800.1090902329. The cubic root of 77441920 is about 426.2444173296.

The spelling of 77441920 in words is "seventy-seven million, four hundred forty-one thousand, nine hundred twenty".