76622400 has 252 divisors, whose sum is σ = 289275012. Its totient is φ = 19169280.

The previous prime is 76622389. The next prime is 76622411. The reversal of 76622400 is 422667.

It is an interprime number because it is at equal distance from previous prime (76622389) and next prime (76622411).

It can be written as a sum of positive squares in 6 ways, for example, as 8856576 + 67765824 = 2976^2 + 8232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244644 + ... + 244956.

Almost surely, 2^76622400 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 76622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144637506).

76622400 is an abundant number, since it is smaller than the sum of its proper divisors (212652612).

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

76622400 is a wasteful number, since it uses less digits than its factorization.

76622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 76622400 is about 8753.4221879217. The cubic root of 76622400 is about 424.7355217233.

The spelling of 76622400 in words is "seventy-six million, six hundred twenty-two thousand, four hundred".