977780160 has 560 divisors, whose sum is σ = 4222113984. Its totient is φ = 209682432.

The previous prime is 977780123. The next prime is 977780171. The reversal of 977780160 is 61087779.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3084322 + ... + 3084638.

Almost surely, 2^977780160 is an apocalyptic number.

977780160 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 977780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111056992).

977780160 is an abundant number, since it is smaller than the sum of its proper divisors (3244333824).

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

977780160 is a wasteful number, since it uses less digits than its factorization.

977780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

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

The square root of 977780160 is about 31269.4764906610. The cubic root of 977780160 is about 992.5378413623.

The spelling of 977780160 in words is "nine hundred seventy-seven million, seven hundred eighty thousand, one hundred sixty".