76964075776 has 81 divisors (see below), whose sum is σ = 178781729889. Its totient is φ = 32971287552.

The previous prime is 76964075737. The next prime is 76964075777. The reversal of 76964075776 is 67757046967.

The square root of 76964075776 is 277424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38635833600 + 38328242176 = 196560^2 + 195776^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (76964075777) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31070250 + ... + 31072726.

Almost surely, 2^76964075776 is an apocalyptic number.

76964075776 is the 277424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76964075776

76964075776 is an abundant number, since it is smaller than the sum of its proper divisors (101817654113).

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

76964075776 is an frugal number, since it uses more digits than its factorization.

76964075776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 64.

Multiplying 76964075776 by its sum of digits (64), we get a square (4925700849664 = 2219392²).

76964075776 divided by its sum of digits (64) gives a square (1202563684 = 34678²).

The spelling of 76964075776 in words is "seventy-six billion, nine hundred sixty-four million, seventy-five thousand, seven hundred seventy-six".