76220400 has 120 divisors (see below), whose sum is σ = 257086720. Its totient is φ = 19249920.

The previous prime is 76220399. The next prime is 76220411. The reversal of 76220400 is 402267.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 21129 + ... + 24471.

Almost surely, 2^76220400 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 76220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128543360).

76220400 is an abundant number, since it is smaller than the sum of its proper divisors (180866320).

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

76220400 is a wasteful number, since it uses less digits than its factorization.

76220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 76220400 is about 8730.4295426972. The cubic root of 76220400 is about 423.9914261943.

Adding to 76220400 its reverse (402267), we get a palindrome (76622667).

The spelling of 76220400 in words is "seventy-six million, two hundred twenty thousand, four hundred".