677190780 has 360 divisors, whose sum is σ = 2607066000. Its totient is φ = 146313216.

The previous prime is 677190751. The next prime is 677190781. The reversal of 677190780 is 87091776.

It is a happy number.

677190780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677190781) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1507996 + ... + 1508444.

It is an arithmetic number, because the mean of its divisors is an integer number (7241850).

Almost surely, 2^677190780 is an apocalyptic number.

677190780 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 677190780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303533000).

677190780 is an abundant number, since it is smaller than the sum of its proper divisors (1929875220).

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

677190780 is a wasteful number, since it uses less digits than its factorization.

677190780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 677190780 is about 26022.8895397879. The cubic root of 677190780 is about 878.1533157960.

The spelling of 677190780 in words is "six hundred seventy-seven million, one hundred ninety thousand, seven hundred eighty".