77470128 has 80 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 25701120.

The previous prime is 77470123. The next prime is 77470171. The reversal of 77470128 is 82107477.

77470128 is a nontrivial binomial coefficient, being equal to C(12448, 2).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 77470092 and 77470101.

It is not an unprimeable number, because it can be changed into a prime (77470123) 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, 167818 + ... + 168278.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^77470128 is an apocalyptic number.

77470128 is the 12447-th triangular number and also the 6224-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77470128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600).

77470128 is an abundant number, since it is smaller than the sum of its proper divisors (145953072).

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

77470128 is a wasteful number, since it uses less digits than its factorization.

77470128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 77470128 is about 8801.7116517187. The cubic root of 77470128 is about 426.2961638211.

The spelling of 77470128 in words is "seventy-seven million, four hundred seventy thousand, one hundred twenty-eight".