78293952 has 140 divisors (see below), whose sum is σ = 253371096. Its totient is φ = 23708160.

The previous prime is 78293899. The next prime is 78293981. The reversal of 78293952 is 25939287.

It is a super-2 number, since 2×78293952² = 12259885839556608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78293898 and 78293907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56338 + ... + 57710.

Almost surely, 2^78293952 is an apocalyptic number.

78293952 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 78293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126685548).

78293952 is an abundant number, since it is smaller than the sum of its proper divisors (175077144).

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

78293952 is a wasteful number, since it uses less digits than its factorization.

78293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1389 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 78293952 is about 8848.3869716463. The cubic root of 78293952 is about 427.8019289051.

It can be divided in two parts, 7829 and 3952, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 78293952 in words is "seventy-eight million, two hundred ninety-three thousand, nine hundred fifty-two".