77028000 has 288 divisors, whose sum is σ = 295783488. Its totient is φ = 17472000.

The previous prime is 77027999. The next prime is 77028013. The reversal of 77028000 is 82077.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587935 + ... + 588065.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 2^77028000 is an apocalyptic number.

77028000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891744).

77028000 is an abundant number, since it is smaller than the sum of its proper divisors (218755488).

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

77028000 is a wasteful number, since it uses less digits than its factorization.

77028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 77028000 is about 8776.5596904482. The cubic root of 77028000 is about 425.4836477878.

The spelling of 77028000 in words is "seventy-seven million, twenty-eight thousand".