78077564928 has 384 divisors, whose sum is σ = 263327500800. Its totient is φ = 22627123200.

The previous prime is 78077564927. The next prime is 78077564969. The reversal of 78077564928 is 82946577087.

78077564928 is a `hidden beast` number, since 78 + 0 + 7 + 75 + 6 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×78077564928² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78077564927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13987098 + ... + 13992678.

It is an arithmetic number, because the mean of its divisors is an integer number (685748700).

Almost surely, 2^78077564928 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 78077564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131663750400).

78077564928 is an abundant number, since it is smaller than the sum of its proper divisors (185249935872).

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

78077564928 is a wasteful number, since it uses less digits than its factorization.

78077564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 78077564928 in words is "seventy-eight billion, seventy-seven million, five hundred sixty-four thousand, nine hundred twenty-eight".