77143400 has 48 divisors (see below), whose sum is σ = 180018240. Its totient is φ = 30744000.

The previous prime is 77143379. The next prime is 77143447. The reversal of 77143400 is 434177.

It is a super-2 number, since 2×77143400² = 11902208327120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77143400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72875 + ... + 73925.

It is an arithmetic number, because the mean of its divisors is an integer number (3750380).

Almost surely, 2^77143400 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 77143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90009120).

77143400 is an abundant number, since it is smaller than the sum of its proper divisors (102874840).

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

77143400 is a wasteful number, since it uses less digits than its factorization.

77143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 77143400 is about 8783.1315599847. The cubic root of 77143400 is about 425.6960221327.

Adding to 77143400 its reverse (434177), we get a palindrome (77577577).

The spelling of 77143400 in words is "seventy-seven million, one hundred forty-three thousand, four hundred".