78577992 has 64 divisors (see below), whose sum is σ = 220017600. Its totient is φ = 25983360.

The previous prime is 78577987. The next prime is 78577999. The reversal of 78577992 is 29977587.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78577999) 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, 26908 + ... + 29684.

It is an arithmetic number, because the mean of its divisors is an integer number (3437775).

Almost surely, 2^78577992 is an apocalyptic number.

78577992 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 78577992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110008800).

78577992 is an abundant number, since it is smaller than the sum of its proper divisors (141439608).

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

78577992 is a wasteful number, since it uses less digits than its factorization.

78577992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2913 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 78577992 is about 8864.4228238504. The cubic root of 78577992 is about 428.3186406395.

The spelling of 78577992 in words is "seventy-eight million, five hundred seventy-seven thousand, nine hundred ninety-two".