977719680 has 512 divisors, whose sum is σ = 4053888000. Its totient is φ = 218087424.

The previous prime is 977719649. The next prime is 977719807. The reversal of 977719680 is 86917779.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7136572 + ... + 7136708.

It is an arithmetic number, because the mean of its divisors is an integer number (7917750).

Almost surely, 2^977719680 is an apocalyptic number.

977719680 is a gapful number since it is divisible by the number (90) 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 977719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026944000).

977719680 is an abundant number, since it is smaller than the sum of its proper divisors (3076168320).

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

977719680 is a wasteful number, since it uses less digits than its factorization.

977719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 977719680 is about 31268.5093984347. The cubic root of 977719680 is about 992.5173766645.

The spelling of 977719680 in words is "nine hundred seventy-seven million, seven hundred nineteen thousand, six hundred eighty".