676457760 has 288 divisors, whose sum is σ = 2469458880. Its totient is φ = 155105280.

The previous prime is 676457759. The next prime is 676457773. The reversal of 676457760 is 67754676.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103214 + ... + 1103826.

It is an arithmetic number, because the mean of its divisors is an integer number (8574510).

Almost surely, 2^676457760 is an apocalyptic number.

676457760 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 676457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234729440).

676457760 is an abundant number, since it is smaller than the sum of its proper divisors (1793001120).

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

676457760 is a wasteful number, since it uses less digits than its factorization.

676457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 676457760 is about 26008.8015871551. The cubic root of 676457760 is about 877.8363512813.

The spelling of 676457760 in words is "six hundred seventy-six million, four hundred fifty-seven thousand, seven hundred sixty".