77358954960 has 640 divisors, whose sum is σ = 316718776320. Its totient is φ = 16982784000.

The previous prime is 77358954923. The next prime is 77358954977. The reversal of 77358954960 is 6945985377.

77358954960 is a `hidden beast` number, since 7 + 7 + 3 + 5 + 89 + 549 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70776174 + ... + 70777266.

It is an arithmetic number, because the mean of its divisors is an integer number (494873088).

Almost surely, 2^77358954960 is an apocalyptic number.

77358954960 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 77358954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158359388160).

77358954960 is an abundant number, since it is smaller than the sum of its proper divisors (239359821360).

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

77358954960 is a wasteful number, since it uses less digits than its factorization.

77358954960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 77358954960 in words is "seventy-seven billion, three hundred fifty-eight million, nine hundred fifty-four thousand, nine hundred sixty".