77003136 has 160 divisors (see below), whose sum is σ = 262144080. Its totient is φ = 21980160.

The previous prime is 77003123. The next prime is 77003137. The reversal of 77003136 is 63130077.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77003137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72046 + ... + 73106.

Almost surely, 2^77003136 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 77003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131072040).

77003136 is an abundant number, since it is smaller than the sum of its proper divisors (185140944).

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

77003136 is a wasteful number, since it uses less digits than its factorization.

77003136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 77003136 is about 8775.1430757567. The cubic root of 77003136 is about 425.4378619960.

The spelling of 77003136 in words is "seventy-seven million, three thousand, one hundred thirty-six".