77129864 has 64 divisors (see below), whose sum is σ = 171000960. Its totient is φ = 31933440.

The previous prime is 77129863. The next prime is 77129869. The reversal of 77129864 is 46892177.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 77129864 = 113³ + 423³ = 320³ + 354³.

It is not an unprimeable number, because it can be changed into a prime (77129863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228704 + ... + 229040.

It is an arithmetic number, because the mean of its divisors is an integer number (2671890).

Almost surely, 2^77129864 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 77129864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85500480).

77129864 is an abundant number, since it is smaller than the sum of its proper divisors (93871096).

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

77129864 is a wasteful number, since it uses less digits than its factorization.

77129864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 77129864 is about 8782.3609581934. The cubic root of 77129864 is about 425.6711223641.

It can be divided in two parts, 7712 and 9864, that added together give a cube (17576 = 26³).

The spelling of 77129864 in words is "seventy-seven million, one hundred twenty-nine thousand, eight hundred sixty-four".