77905152 has 270 divisors, whose sum is σ = 265749638. Its totient is φ = 22560768.

The previous prime is 77905151. The next prime is 77905199. The reversal of 77905152 is 25150977.

It can be written as a sum of positive squares in 3 ways, for example, as 17438976 + 60466176 = 4176^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77905151) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4582648 + ... + 4582664.

Almost surely, 2^77905152 is an apocalyptic number.

77905152 is a gapful number since it is divisible by the number (72) 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 77905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874819).

77905152 is an abundant number, since it is smaller than the sum of its proper divisors (187844486).

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

77905152 is a wasteful number, since it uses less digits than its factorization.

77905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 77905152 is about 8826.3895223358. The cubic root of 77905152 is about 427.0926128261.

The spelling of 77905152 in words is "seventy-seven million, nine hundred five thousand, one hundred fifty-two".