76030400 has 168 divisors, whose sum is σ = 205038960. Its totient is φ = 27648000.

The previous prime is 76030399. The next prime is 76030403. The reversal of 76030400 is 403067.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76030403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246370 + ... + 1246430.

It is an arithmetic number, because the mean of its divisors is an integer number (1220470).

Almost surely, 2^76030400 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 76030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102519480).

76030400 is an abundant number, since it is smaller than the sum of its proper divisors (129008560).

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

76030400 is a wasteful number, since it uses less digits than its factorization.

76030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 76030400 is about 8719.5412723377. The cubic root of 76030400 is about 423.6388285446.

Adding to 76030400 its reverse (403067), we get a palindrome (76433467).

The spelling of 76030400 in words is "seventy-six million, thirty thousand, four hundred".