77052000 has 96 divisors (see below), whose sum is σ = 252461664. Its totient is φ = 20544000.

The previous prime is 77051999. The next prime is 77052029. The reversal of 77052000 is 25077.

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

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, 8790 + ... + 15210.

It is an arithmetic number, because the mean of its divisors is an integer number (2629809).

Almost surely, 2^77052000 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 77052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126230832).

77052000 is an abundant number, since it is smaller than the sum of its proper divisors (175409664).

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

77052000 is a wasteful number, since it uses less digits than its factorization.

77052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 77052000 is about 8777.9268623064. The cubic root of 77052000 is about 425.5278332233.

Adding to 77052000 its reverse (25077), we get a palindrome (77077077).

The spelling of 77052000 in words is "seventy-seven million, fifty-two thousand".