76196400 has 240 divisors, whose sum is σ = 286362624. Its totient is φ = 16957440.

The previous prime is 76196399. The next prime is 76196423. The reversal of 76196400 is 469167.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394704 + ... + 394896.

Almost surely, 2^76196400 is an apocalyptic number.

76196400 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 76196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143181312).

76196400 is an abundant number, since it is smaller than the sum of its proper divisors (210166224).

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

76196400 is a wasteful number, since it uses less digits than its factorization.

76196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 76196400 is about 8729.0549316636. The cubic root of 76196400 is about 423.9469199009.

The spelling of 76196400 in words is "seventy-six million, one hundred ninety-six thousand, four hundred".