77148920 has 64 divisors (see below), whose sum is σ = 178770240. Its totient is φ = 29952000.

The previous prime is 77148899. The next prime is 77148937. The reversal of 77148920 is 2984177.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320000 + ... + 320240.

It is an arithmetic number, because the mean of its divisors is an integer number (2793285).

Almost surely, 2^77148920 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 77148920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385120).

77148920 is an abundant number, since it is smaller than the sum of its proper divisors (101621320).

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

77148920 is a wasteful number, since it uses less digits than its factorization.

77148920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 77148920 is about 8783.4457930814. The cubic root of 77148920 is about 425.7061754575.

The spelling of 77148920 in words is "seventy-seven million, one hundred forty-eight thousand, nine hundred twenty".