30777264 has 120 divisors (see below), whose sum is σ = 103683840. Its totient is φ = 8325504.

The previous prime is 30777251. The next prime is 30777269. The reversal of 30777264 is 46277703.

30777264 is nontrivially palindromic in base 11.

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 not an unprimeable number, because it can be changed into a prime (30777269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18349 + ... + 19955.

It is an arithmetic number, because the mean of its divisors is an integer number (864032).

Almost surely, 2^30777264 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 30777264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51841920).

30777264 is an abundant number, since it is smaller than the sum of its proper divisors (72906576).

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

30777264 is a wasteful number, since it uses less digits than its factorization.

30777264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 30777264 is about 5547.7260206322. The cubic root of 30777264 is about 313.3838920478.

The spelling of 30777264 in words is "thirty million, seven hundred seventy-seven thousand, two hundred sixty-four".