77368000 has 112 divisors (see below), whose sum is σ = 202082400. Its totient is φ = 29260800.

The previous prime is 77367973. The next prime is 77368001. The reversal of 77368000 is 86377.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77368001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151746 + ... + 152254.

Almost surely, 2^77368000 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 77368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101041200).

77368000 is an abundant number, since it is smaller than the sum of its proper divisors (124714400).

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

77368000 is a wasteful number, since it uses less digits than its factorization.

77368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 77368000 is about 8795.9081395840. The cubic root of 77368000 is about 426.1087542947.

The spelling of 77368000 in words is "seventy-seven million, three hundred sixty-eight thousand".