77468454 has 128 divisors (see below), whose sum is σ = 210124800. Its totient is φ = 20684160.

The previous prime is 77468449. The next prime is 77468459. The reversal of 77468454 is 45486477.

It is an interprime number because it is at equal distance from previous prime (77468449) and next prime (77468459).

It is a super-2 number, since 2×77468454² = 12002722730300232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77468459) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405499 + ... + 405689.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 2^77468454 is an apocalyptic number.

77468454 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77468454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105062400).

77468454 is an abundant number, since it is smaller than the sum of its proper divisors (132656346).

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

77468454 is a wasteful number, since it uses less digits than its factorization.

77468454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 77468454 is about 8801.6165560651. The cubic root of 77468454 is about 426.2930932831.

The spelling of 77468454 in words is "seventy-seven million, four hundred sixty-eight thousand, four hundred fifty-four".