77540430 has 96 divisors (see below), whose sum is σ = 209944224. Its totient is φ = 18304000.

The previous prime is 77540423. The next prime is 77540447. The reversal of 77540430 is 3404577.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148570 + ... + 149090.

It is an arithmetic number, because the mean of its divisors is an integer number (2186919).

Almost surely, 2^77540430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77540430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104972112).

77540430 is an abundant number, since it is smaller than the sum of its proper divisors (132403794).

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

77540430 is a wasteful number, since it uses less digits than its factorization.

77540430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 77540430 is about 8805.7044011254. The cubic root of 77540430 is about 426.4250754965.

The spelling of 77540430 in words is "seventy-seven million, five hundred forty thousand, four hundred thirty".