77125464 has 192 divisors, whose sum is σ = 246486240. Its totient is φ = 21565440.

The previous prime is 77125459. The next prime is 77125487. The reversal of 77125464 is 46452177.

77125464 is a `hidden beast` number, since 77 + 125 + 464 = 666.

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

Its product of digits (47040) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588679 + ... + 588809.

Almost surely, 2^77125464 is an apocalyptic number.

77125464 is a gapful number since it is divisible by the number (74) 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 77125464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123243120).

77125464 is an abundant number, since it is smaller than the sum of its proper divisors (169360776).

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

77125464 is a wasteful number, since it uses less digits than its factorization.

77125464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 77125464 is about 8782.1104525051. The cubic root of 77125464 is about 425.6630278403.

The spelling of 77125464 in words is "seventy-seven million, one hundred twenty-five thousand, four hundred sixty-four".