76484100 has 324 divisors, whose sum is σ = 289533552. Its totient is φ = 15523200.

The previous prime is 76484081. The next prime is 76484123. The reversal of 76484100 is 148467.

76484100 = T₂₄₀ + T₂₄₁ + ... + T₇₇₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1778679 + ... + 1778721.

Almost surely, 2^76484100 is an apocalyptic number.

76484100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76484100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144766776).

76484100 is an abundant number, since it is smaller than the sum of its proper divisors (213049452).

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

76484100 is a wasteful number, since it uses less digits than its factorization.

76484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 76484100 is about 8745.5188525324. The cubic root of 76484100 is about 424.4798249571.

The spelling of 76484100 in words is "seventy-six million, four hundred eighty-four thousand, one hundred".