77388000 has 96 divisors (see below), whose sum is σ = 253562400. Its totient is φ = 20633600.

The previous prime is 77387993. The next prime is 77388011. The reversal of 77388000 is 88377.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 8776 + ... + 15224.

It is an arithmetic number, because the mean of its divisors is an integer number (2641275).

Almost surely, 2^77388000 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 77388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126781200).

77388000 is an abundant number, since it is smaller than the sum of its proper divisors (176174400).

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

77388000 is a wasteful number, since it uses less digits than its factorization.

77388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 77388000 is about 8797.0449583937. The cubic root of 77388000 is about 426.1454681853.

The spelling of 77388000 in words is "seventy-seven million, three hundred eighty-eight thousand".