77464500 has 96 divisors (see below), whose sum is σ = 231014784. Its totient is φ = 20160000.

The previous prime is 77464493. The next prime is 77464511. The reversal of 77464500 is 546477.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63900 + ... + 65100.

It is an arithmetic number, because the mean of its divisors is an integer number (2406404).

Almost surely, 2^77464500 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 77464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115507392).

77464500 is an abundant number, since it is smaller than the sum of its proper divisors (153550284).

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

77464500 is a wasteful number, since it uses less digits than its factorization.

77464500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 77464500 is about 8801.3919353702. The cubic root of 77464500 is about 426.2858404747.

It can be divided in two parts, 7746 and 4500, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 77464500 in words is "seventy-seven million, four hundred sixty-four thousand, five hundred".