76694400 has 144 divisors (see below), whose sum is σ = 273765960. Its totient is φ = 20444160.

The previous prime is 76694399. The next prime is 76694417. The reversal of 76694400 is 449667.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27469 + ... + 30131.

Almost surely, 2^76694400 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 76694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136882980).

76694400 is an abundant number, since it is smaller than the sum of its proper divisors (197071560).

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

76694400 is a wasteful number, since it uses less digits than its factorization.

76694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76694400 is about 8757.5338994491. The cubic root of 76694400 is about 424.8685175743.

The spelling of 76694400 in words is "seventy-six million, six hundred ninety-four thousand, four hundred".