77148400 has 120 divisors (see below), whose sum is σ = 215879040. Its totient is φ = 25946880.

The previous prime is 77148373. The next prime is 77148403. The reversal of 77148400 is 484177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77148403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164967 + ... + 165433.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2^77148400 is an apocalyptic number.

77148400 is a gapful number since it is divisible by the number (70) 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 77148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

77148400 is an abundant number, since it is smaller than the sum of its proper divisors (138730640).

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

77148400 is a wasteful number, since it uses less digits than its factorization.

77148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 77148400 is about 8783.4161918925. The cubic root of 77148400 is about 425.7052190055.

The spelling of 77148400 in words is "seventy-seven million, one hundred forty-eight thousand, four hundred".