116076400 has 240 divisors, whose sum is σ = 336549888. Its totient is φ = 38016000.

The previous prime is 116076397. The next prime is 116076407. The reversal of 116076400 is 4670611.

116076400 = T₁₁₂ + T₁₁₃ + ... + T₈₈₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116076407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3137182 + ... + 3137218.

Almost surely, 2^116076400 is an apocalyptic number.

116076400 is a gapful number since it is divisible by the number (10) 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 116076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168274944).

116076400 is an abundant number, since it is smaller than the sum of its proper divisors (220473488).

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

116076400 is a wasteful number, since it uses less digits than its factorization.

116076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 116076400 is about 10773.8758114246. The cubic root of 116076400 is about 487.8069423571.

The spelling of 116076400 in words is "one hundred sixteen million, seventy-six thousand, four hundred".