634777080 has 256 divisors, whose sum is σ = 2366668800. Its totient is φ = 132917760.

The previous prime is 634777067. The next prime is 634777109. The reversal of 634777080 is 80777436.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494119 + ... + 495401.

It is an arithmetic number, because the mean of its divisors is an integer number (9244800).

Almost surely, 2^634777080 is an apocalyptic number.

634777080 is a gapful number since it is divisible by the number (60) 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 634777080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183334400).

634777080 is an abundant number, since it is smaller than the sum of its proper divisors (1731891720).

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

634777080 is a wasteful number, since it uses less digits than its factorization.

634777080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 634777080 is about 25194.7827932689. The cubic root of 634777080 is about 859.4232115851.

The spelling of 634777080 in words is "six hundred thirty-four million, seven hundred seventy-seven thousand, eighty".