77460551280 has 480 divisors, whose sum is σ = 317383971840. Its totient is φ = 16535715840.

The previous prime is 77460551279. The next prime is 77460551317. The reversal of 77460551280 is 8215506477.

77460551280 is a `hidden beast` number, since 7 + 74 + 6 + 0 + 551 + 28 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6793264 + ... + 6804656.

It is an arithmetic number, because the mean of its divisors is an integer number (661216608).

Almost surely, 2^77460551280 is an apocalyptic number.

77460551280 is a gapful number since it is divisible by the number (70) 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 77460551280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158691985920).

77460551280 is an abundant number, since it is smaller than the sum of its proper divisors (239923420560).

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

77460551280 is a wasteful number, since it uses less digits than its factorization.

77460551280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 77460551280 in words is "seventy-seven billion, four hundred sixty million, five hundred fifty-one thousand, two hundred eighty".