977551680 has 448 divisors, whose sum is σ = 3862425600. Its totient is φ = 204374016.

The previous prime is 977551667. The next prime is 977551693. The reversal of 977551680 is 86155779.

It is an interprime number because it is at equal distance from previous prime (977551667) and next prime (977551693).

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

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

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, 4912221 + ... + 4912419.

Almost surely, 2^977551680 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 977551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931212800).

977551680 is an abundant number, since it is smaller than the sum of its proper divisors (2884873920).

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

977551680 is a wasteful number, since it uses less digits than its factorization.

977551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The square root of 977551680 is about 31265.8228741864. The cubic root of 977551680 is about 992.4605258534.

The spelling of 977551680 in words is "nine hundred seventy-seven million, five hundred fifty-one thousand, six hundred eighty".