77530350 has 48 divisors (see below), whose sum is σ = 192956400. Its totient is φ = 20601600.

The previous prime is 77530301. The next prime is 77530351. The reversal of 77530350 is 5303577.

It is a super-2 number, since 2×77530350² = 12021910342245000, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77530351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51610 + ... + 53090.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^77530350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77530350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96478200).

77530350 is an abundant number, since it is smaller than the sum of its proper divisors (115426050).

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

77530350 is a wasteful number, since it uses less digits than its factorization.

77530350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 30.

The square root of 77530350 is about 8805.1320262674. The cubic root of 77530350 is about 426.4065967449.

It can be divided in two parts, 775 and 30350, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 77530350 in words is "seventy-seven million, five hundred thirty thousand, three hundred fifty".