76798000 has 160 divisors (see below), whose sum is σ = 204272640. Its totient is φ = 27820800.

The previous prime is 76797983. The next prime is 76798009. The reversal of 76798000 is 89767.

It is not an unprimeable number, because it can be changed into a prime (76798009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633977 + ... + 1634023.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^76798000 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 76798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

76798000 is an abundant number, since it is smaller than the sum of its proper divisors (127474640).

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

76798000 is a wasteful number, since it uses less digits than its factorization.

76798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 76798000 is about 8763.4468104736. The cubic root of 76798000 is about 425.0597378543.

The spelling of 76798000 in words is "seventy-six million, seven hundred ninety-eight thousand".