77413392 has 120 divisors (see below), whose sum is σ = 251858880. Its totient is φ = 21738240.

The previous prime is 77413387. The next prime is 77413411. The reversal of 77413392 is 29331477.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60859 + ... + 62117.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^77413392 is an apocalyptic number.

77413392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77413392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

77413392 is an abundant number, since it is smaller than the sum of its proper divisors (174445488).

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

77413392 is a wasteful number, since it uses less digits than its factorization.

77413392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 77413392 is about 8798.4880519326. The cubic root of 77413392 is about 426.1920710284.

The spelling of 77413392 in words is "seventy-seven million, four hundred thirteen thousand, three hundred ninety-two".