76992000 has 160 divisors (see below), whose sum is σ = 256617504. Its totient is φ = 20480000.

The previous prime is 76991989. The next prime is 76992011. The reversal of 76992000 is 29967.

It is an interprime number because it is at equal distance from previous prime (76991989) and next prime (76992011).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191800 + ... + 192200.

Almost surely, 2^76992000 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 76992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128308752).

76992000 is an abundant number, since it is smaller than the sum of its proper divisors (179625504).

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

76992000 is an equidigital number, since it uses as much as digits as its factorization.

76992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 76992000 is about 8774.5085332456. The cubic root of 76992000 is about 425.4173524225.

The spelling of 76992000 in words is "seventy-six million, nine hundred ninety-two thousand".