77997052 has 48 divisors (see below), whose sum is σ = 165114880. Its totient is φ = 31492800.

The previous prime is 77997041. The next prime is 77997053. The reversal of 77997052 is 25079977.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77996993 and 77997011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77997053) 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, 143902 + ... + 144442.

Almost surely, 2^77997052 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 77997052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82557440).

77997052 is an abundant number, since it is smaller than the sum of its proper divisors (87117828).

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

77997052 is a wasteful number, since it uses less digits than its factorization.

77997052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 46.

The square root of 77997052 is about 8831.5939671160. The cubic root of 77997052 is about 427.2604852824.

The spelling of 77997052 in words is "seventy-seven million, nine hundred ninety-seven thousand, fifty-two".