677907776 has 224 divisors, whose sum is σ = 1806561792. Its totient is φ = 244776960.

The previous prime is 677907739. The next prime is 677907779. The reversal of 677907776 is 677709776.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×677907776² = 919117905522532352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677907779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4059245 + ... + 4059411.

It is an arithmetic number, because the mean of its divisors is an integer number (8065008).

Almost surely, 2^677907776 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 677907776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903280896).

677907776 is an abundant number, since it is smaller than the sum of its proper divisors (1128654016).

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

677907776 is a wasteful number, since it uses less digits than its factorization.

677907776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5445468, while the sum is 56.

The square root of 677907776 is about 26036.6621516661. The cubic root of 677907776 is about 878.4631301792.

The spelling of 677907776 in words is "six hundred seventy-seven million, nine hundred seven thousand, seven hundred seventy-six".