76421400 has 96 divisors (see below), whose sum is σ = 258465600. Its totient is φ = 18524800.

The previous prime is 76421399. The next prime is 76421413. The reversal of 76421400 is 412467.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811 + ... + 12389.

It is an arithmetic number, because the mean of its divisors is an integer number (2692350).

Almost surely, 2^76421400 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 76421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129232800).

76421400 is an abundant number, since it is smaller than the sum of its proper divisors (182044200).

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

76421400 is a wasteful number, since it uses less digits than its factorization.

76421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11609 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 76421400 is about 8741.9334245921. The cubic root of 76421400 is about 424.3638001401.

Adding to 76421400 its reverse (412467), we get a palindrome (76833867).

The spelling of 76421400 in words is "seventy-six million, four hundred twenty-one thousand, four hundred".