677436480 has 448 divisors, whose sum is σ = 2855854080. Its totient is φ = 147806208.

The previous prime is 677436467. The next prime is 677436499. The reversal of 677436480 is 84634776.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×677436480³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390797 + ... + 1391283.

Almost surely, 2^677436480 is an apocalyptic number.

677436480 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 677436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427927040).

677436480 is an abundant number, since it is smaller than the sum of its proper divisors (2178417600).

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

677436480 is a wasteful number, since it uses less digits than its factorization.

677436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 677436480 is about 26027.6099555837. The cubic root of 677436480 is about 878.2595075256.

The spelling of 677436480 in words is "six hundred seventy-seven million, four hundred thirty-six thousand, four hundred eighty".